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Finding the Fourth Proportional to 343.92, 516.91 and 302.92

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Solution

The fourth proportional to 343.92, 516.91 and 302.92 is: 455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.92 : 516.91 = 302.92 : x
  2. Step 2: Convert to fraction form
    343.92/516.91 = 302.92/x
  3. Step 3: Cross multiply
    343.92x = 516.91 × 302.92
  4. Step 4: Simplify right side
    343.92x = 156,582.38
  5. Step 5: Solve for x
    x = 156,582.38/343.92
  6. Step 6: Final answer
    x = 455.29

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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.