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Finding the Fourth Proportional to 409.55, 616.39 and 307.35

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Solution

The fourth proportional to 409.55, 616.39 and 307.35 is: 462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.55 : 616.39 = 307.35 : x
  2. Step 2: Convert to fraction form
    409.55/616.39 = 307.35/x
  3. Step 3: Cross multiply
    409.55x = 616.39 × 307.35
  4. Step 4: Simplify right side
    409.55x = 189,446.70
  5. Step 5: Solve for x
    x = 189,446.70/409.55
  6. Step 6: Final answer
    x = 462.58

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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.