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Finding the Fourth Proportional to 409.42, 616.20 and 307.24

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Solution

The fourth proportional to 409.42, 616.20 and 307.24 is: 462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.42 : 616.20 = 307.24 : x
  2. Step 2: Convert to fraction form
    409.42/616.20 = 307.24/x
  3. Step 3: Cross multiply
    409.42x = 616.20 × 307.24
  4. Step 4: Simplify right side
    409.42x = 189,321.29
  5. Step 5: Solve for x
    x = 189,321.29/409.42
  6. Step 6: Final answer
    x = 462.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.