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Finding the Fourth Proportional to 133.71, 199.71 and 111.90

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Solution

The fourth proportional to 133.71, 199.71 and 111.90 is: 167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.71 : 199.71 = 111.90 : x
  2. Step 2: Convert to fraction form
    133.71/199.71 = 111.90/x
  3. Step 3: Cross multiply
    133.71x = 199.71 × 111.90
  4. Step 4: Simplify right side
    133.71x = 22,347.55
  5. Step 5: Solve for x
    x = 22,347.55/133.71
  6. Step 6: Final answer
    x = 167.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.