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Finding the Fourth Proportional to 460.86, 691.17 and 278.31

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Solution

The fourth proportional to 460.86, 691.17 and 278.31 is: 417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.86 : 691.17 = 278.31 : x
  2. Step 2: Convert to fraction form
    460.86/691.17 = 278.31/x
  3. Step 3: Cross multiply
    460.86x = 691.17 × 278.31
  4. Step 4: Simplify right side
    460.86x = 192,359.52
  5. Step 5: Solve for x
    x = 192,359.52/460.86
  6. Step 6: Final answer
    x = 417.39

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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.