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Finding the Fourth Proportional to 462.46, 693.72 and 133.41

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Solution

The fourth proportional to 462.46, 693.72 and 133.41 is: 200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.46 : 693.72 = 133.41 : x
  2. Step 2: Convert to fraction form
    462.46/693.72 = 133.41/x
  3. Step 3: Cross multiply
    462.46x = 693.72 × 133.41
  4. Step 4: Simplify right side
    462.46x = 92,549.19
  5. Step 5: Solve for x
    x = 92,549.19/462.46
  6. Step 6: Final answer
    x = 200.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.