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Finding the Fourth Proportional to 510.82, 766.53 and 186.21

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Solution

The fourth proportional to 510.82, 766.53 and 186.21 is: 279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.82 : 766.53 = 186.21 : x
  2. Step 2: Convert to fraction form
    510.82/766.53 = 186.21/x
  3. Step 3: Cross multiply
    510.82x = 766.53 × 186.21
  4. Step 4: Simplify right side
    510.82x = 142,735.55
  5. Step 5: Solve for x
    x = 142,735.55/510.82
  6. Step 6: Final answer
    x = 279.42

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Double scale
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Similar ratio
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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.