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Finding the Fourth Proportional to 510.01, 764.08 and 278.55

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Solution

The fourth proportional to 510.01, 764.08 and 278.55 is: 417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.01 : 764.08 = 278.55 : x
  2. Step 2: Convert to fraction form
    510.01/764.08 = 278.55/x
  3. Step 3: Cross multiply
    510.01x = 764.08 × 278.55
  4. Step 4: Simplify right side
    510.01x = 212,833.79
  5. Step 5: Solve for x
    x = 212,833.79/510.01
  6. Step 6: Final answer
    x = 417.32

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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.