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Finding the Fourth Proportional to 50.74, 75.76 and 43.92

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Solution

The fourth proportional to 50.74, 75.76 and 43.92 is: 65.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.74 : 75.76 = 43.92 : x
  2. Step 2: Convert to fraction form
    50.74/75.76 = 43.92/x
  3. Step 3: Cross multiply
    50.74x = 75.76 × 43.92
  4. Step 4: Simplify right side
    50.74x = 3,327.27
  5. Step 5: Solve for x
    x = 3,327.27/50.74
  6. Step 6: Final answer
    x = 65.58

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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.