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Finding the Fourth Proportional to 50.64, 76.42 and 50.24

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Solution

The fourth proportional to 50.64, 76.42 and 50.24 is: 75.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.64 : 76.42 = 50.24 : x
  2. Step 2: Convert to fraction form
    50.64/76.42 = 50.24/x
  3. Step 3: Cross multiply
    50.64x = 76.42 × 50.24
  4. Step 4: Simplify right side
    50.64x = 3,839.34
  5. Step 5: Solve for x
    x = 3,839.34/50.64
  6. Step 6: Final answer
    x = 75.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.