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Finding the Fourth Proportional to 135.50, 202.32 and 127.89

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Solution

The fourth proportional to 135.50, 202.32 and 127.89 is: 190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.50 : 202.32 = 127.89 : x
  2. Step 2: Convert to fraction form
    135.50/202.32 = 127.89/x
  3. Step 3: Cross multiply
    135.50x = 202.32 × 127.89
  4. Step 4: Simplify right side
    135.50x = 25,874.70
  5. Step 5: Solve for x
    x = 25,874.70/135.50
  6. Step 6: Final answer
    x = 190.96

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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.