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Finding the Fourth Proportional to 77.40, 115.43 and 75.51

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Solution

The fourth proportional to 77.40, 115.43 and 75.51 is: 112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.40 : 115.43 = 75.51 : x
  2. Step 2: Convert to fraction form
    77.40/115.43 = 75.51/x
  3. Step 3: Cross multiply
    77.40x = 115.43 × 75.51
  4. Step 4: Simplify right side
    77.40x = 8,715.74
  5. Step 5: Solve for x
    x = 8,715.74/77.40
  6. Step 6: Final answer
    x = 112.61

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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.