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Finding the Fourth Proportional to 462.42, 638.10 and 296.34

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Solution

The fourth proportional to 462.42, 638.10 and 296.34 is: 408.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.42 : 638.10 = 296.34 : x
  2. Step 2: Convert to fraction form
    462.42/638.10 = 296.34/x
  3. Step 3: Cross multiply
    462.42x = 638.10 × 296.34
  4. Step 4: Simplify right side
    462.42x = 189,094.55
  5. Step 5: Solve for x
    x = 189,094.55/462.42
  6. Step 6: Final answer
    x = 408.92

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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.