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Finding the Fourth Proportional to 133.49, 200.20 and 56.48

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Solution

The fourth proportional to 133.49, 200.20 and 56.48 is: 84.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.49 : 200.20 = 56.48 : x
  2. Step 2: Convert to fraction form
    133.49/200.20 = 56.48/x
  3. Step 3: Cross multiply
    133.49x = 200.20 × 56.48
  4. Step 4: Simplify right side
    133.49x = 11,306.01
  5. Step 5: Solve for x
    x = 11,306.01/133.49
  6. Step 6: Final answer
    x = 84.70

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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.