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Finding the Fourth Proportional to 498.66, 688.68 and 358.92

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Solution

The fourth proportional to 498.66, 688.68 and 358.92 is: 495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.66 : 688.68 = 358.92 : x
  2. Step 2: Convert to fraction form
    498.66/688.68 = 358.92/x
  3. Step 3: Cross multiply
    498.66x = 688.68 × 358.92
  4. Step 4: Simplify right side
    498.66x = 247,181.03
  5. Step 5: Solve for x
    x = 247,181.03/498.66
  6. Step 6: Final answer
    x = 495.69

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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.