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Finding the Fourth Proportional to 462.26, 693.41 and 133.19

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Solution

The fourth proportional to 462.26, 693.41 and 133.19 is: 199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.26 : 693.41 = 133.19 : x
  2. Step 2: Convert to fraction form
    462.26/693.41 = 133.19/x
  3. Step 3: Cross multiply
    462.26x = 693.41 × 133.19
  4. Step 4: Simplify right side
    462.26x = 92,358.39
  5. Step 5: Solve for x
    x = 92,358.39/462.26
  6. Step 6: Final answer
    x = 199.80

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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.