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Finding the Fourth Proportional to 510.70, 766.16 and 202.70

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Solution

The fourth proportional to 510.70, 766.16 and 202.70 is: 304.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.70 : 766.16 = 202.70 : x
  2. Step 2: Convert to fraction form
    510.70/766.16 = 202.70/x
  3. Step 3: Cross multiply
    510.70x = 766.16 × 202.70
  4. Step 4: Simplify right side
    510.70x = 155,300.63
  5. Step 5: Solve for x
    x = 155,300.63/510.70
  6. Step 6: Final answer
    x = 304.09

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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.