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Finding the Fourth Proportional to 462.51, 638.13 and 296.42

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Solution

The fourth proportional to 462.51, 638.13 and 296.42 is: 408.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.51 : 638.13 = 296.42 : x
  2. Step 2: Convert to fraction form
    462.51/638.13 = 296.42/x
  3. Step 3: Cross multiply
    462.51x = 638.13 × 296.42
  4. Step 4: Simplify right side
    462.51x = 189,153.01
  5. Step 5: Solve for x
    x = 189,153.01/462.51
  6. Step 6: Final answer
    x = 408.98

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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.