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Finding the Fourth Proportional to 498.27, 686.96 and 320.91

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Solution

The fourth proportional to 498.27, 686.96 and 320.91 is: 442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.27 : 686.96 = 320.91 : x
  2. Step 2: Convert to fraction form
    498.27/686.96 = 320.91/x
  3. Step 3: Cross multiply
    498.27x = 686.96 × 320.91
  4. Step 4: Simplify right side
    498.27x = 220,455.03
  5. Step 5: Solve for x
    x = 220,455.03/498.27
  6. Step 6: Final answer
    x = 442.44

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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.