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Finding the Fourth Proportional to 498.29, 686.88 and 358.16

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Solution

The fourth proportional to 498.29, 686.88 and 358.16 is: 493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.29 : 686.88 = 358.16 : x
  2. Step 2: Convert to fraction form
    498.29/686.88 = 358.16/x
  3. Step 3: Cross multiply
    498.29x = 686.88 × 358.16
  4. Step 4: Simplify right side
    498.29x = 246,009.51
  5. Step 5: Solve for x
    x = 246,009.51/498.29
  6. Step 6: Final answer
    x = 493.71

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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.