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Finding the Fourth Proportional to 50.76, 75.81 and 43.96

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Solution

The fourth proportional to 50.76, 75.81 and 43.96 is: 65.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.76 : 75.81 = 43.96 : x
  2. Step 2: Convert to fraction form
    50.76/75.81 = 43.96/x
  3. Step 3: Cross multiply
    50.76x = 75.81 × 43.96
  4. Step 4: Simplify right side
    50.76x = 3,332.61
  5. Step 5: Solve for x
    x = 3,332.61/50.76
  6. Step 6: Final answer
    x = 65.65

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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.