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Finding the Fourth Proportional to 510, 764.96 and 278.16

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Solution

The fourth proportional to 510, 764.96 and 278.16 is: 417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 764.96 = 278.16 : x
  2. Step 2: Convert to fraction form
    510/764.96 = 278.16/x
  3. Step 3: Cross multiply
    510x = 764.96 × 278.16
  4. Step 4: Simplify right side
    510x = 212,781.27
  5. Step 5: Solve for x
    x = 212,781.27/510
  6. Step 6: Final answer
    x = 417.22

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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.