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Finding the Fourth Proportional to 510.91, 766.09 and 222.19

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Solution

The fourth proportional to 510.91, 766.09 and 222.19 is: 333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.91 : 766.09 = 222.19 : x
  2. Step 2: Convert to fraction form
    510.91/766.09 = 222.19/x
  3. Step 3: Cross multiply
    510.91x = 766.09 × 222.19
  4. Step 4: Simplify right side
    510.91x = 170,215.07
  5. Step 5: Solve for x
    x = 170,215.07/510.91
  6. Step 6: Final answer
    x = 333.16

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.