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Finding the Fourth Proportional to 135.77, 203.41 and 132.89

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Solution

The fourth proportional to 135.77, 203.41 and 132.89 is: 199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.77 : 203.41 = 132.89 : x
  2. Step 2: Convert to fraction form
    135.77/203.41 = 132.89/x
  3. Step 3: Cross multiply
    135.77x = 203.41 × 132.89
  4. Step 4: Simplify right side
    135.77x = 27,031.15
  5. Step 5: Solve for x
    x = 27,031.15/135.77
  6. Step 6: Final answer
    x = 199.10

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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.