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Finding the Fourth Proportional to 132.77, 199.23 and 71.90

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Solution

The fourth proportional to 132.77, 199.23 and 71.90 is: 107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.77 : 199.23 = 71.90 : x
  2. Step 2: Convert to fraction form
    132.77/199.23 = 71.90/x
  3. Step 3: Cross multiply
    132.77x = 199.23 × 71.90
  4. Step 4: Simplify right side
    132.77x = 14,325.24
  5. Step 5: Solve for x
    x = 14,325.24/132.77
  6. Step 6: Final answer
    x = 107.89

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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.