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Finding the Fourth Proportional to 345.92, 516.04 and 309.44

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Solution

The fourth proportional to 345.92, 516.04 and 309.44 is: 461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.92 : 516.04 = 309.44 : x
  2. Step 2: Convert to fraction form
    345.92/516.04 = 309.44/x
  3. Step 3: Cross multiply
    345.92x = 516.04 × 309.44
  4. Step 4: Simplify right side
    345.92x = 159,683.42
  5. Step 5: Solve for x
    x = 159,683.42/345.92
  6. Step 6: Final answer
    x = 461.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.