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Finding the Fourth Proportional to 497.28, 686.34 and 342

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Solution

The fourth proportional to 497.28, 686.34 and 342 is: 472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.28 : 686.34 = 342 : x
  2. Step 2: Convert to fraction form
    497.28/686.34 = 342/x
  3. Step 3: Cross multiply
    497.28x = 686.34 × 342
  4. Step 4: Simplify right side
    497.28x = 234,728.28
  5. Step 5: Solve for x
    x = 234,728.28/497.28
  6. Step 6: Final answer
    x = 472.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.