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Finding the Fourth Proportional to 50.76, 75.87 and 43.20

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Solution

The fourth proportional to 50.76, 75.87 and 43.20 is: 64.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.76 : 75.87 = 43.20 : x
  2. Step 2: Convert to fraction form
    50.76/75.87 = 43.20/x
  3. Step 3: Cross multiply
    50.76x = 75.87 × 43.20
  4. Step 4: Simplify right side
    50.76x = 3,277.58
  5. Step 5: Solve for x
    x = 3,277.58/50.76
  6. Step 6: Final answer
    x = 64.57

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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.