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Finding the Fourth Proportional to 103.43, 154.50 and 77.61

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Solution

The fourth proportional to 103.43, 154.50 and 77.61 is: 115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.43 : 154.50 = 77.61 : x
  2. Step 2: Convert to fraction form
    103.43/154.50 = 77.61/x
  3. Step 3: Cross multiply
    103.43x = 154.50 × 77.61
  4. Step 4: Simplify right side
    103.43x = 11,990.36
  5. Step 5: Solve for x
    x = 11,990.36/103.43
  6. Step 6: Final answer
    x = 115.93

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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.