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Finding the Fourth Proportional to 462.16, 638.10 and 374.03

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Solution

The fourth proportional to 462.16, 638.10 and 374.03 is: 516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.16 : 638.10 = 374.03 : x
  2. Step 2: Convert to fraction form
    462.16/638.10 = 374.03/x
  3. Step 3: Cross multiply
    462.16x = 638.10 × 374.03
  4. Step 4: Simplify right side
    462.16x = 238,665.08
  5. Step 5: Solve for x
    x = 238,665.08/462.16
  6. Step 6: Final answer
    x = 516.42

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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.