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Finding the Fourth Proportional to 462.23, 638.13 and 312.96

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Solution

The fourth proportional to 462.23, 638.13 and 312.96 is: 432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.23 : 638.13 = 312.96 : x
  2. Step 2: Convert to fraction form
    462.23/638.13 = 312.96/x
  3. Step 3: Cross multiply
    462.23x = 638.13 × 312.96
  4. Step 4: Simplify right side
    462.23x = 199,709.16
  5. Step 5: Solve for x
    x = 199,709.16/462.23
  6. Step 6: Final answer
    x = 432.06

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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.