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Finding the Fourth Proportional to 52.57, 78.17 and 50.41

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Solution

The fourth proportional to 52.57, 78.17 and 50.41 is: 74.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.57 : 78.17 = 50.41 : x
  2. Step 2: Convert to fraction form
    52.57/78.17 = 50.41/x
  3. Step 3: Cross multiply
    52.57x = 78.17 × 50.41
  4. Step 4: Simplify right side
    52.57x = 3,940.55
  5. Step 5: Solve for x
    x = 3,940.55/52.57
  6. Step 6: Final answer
    x = 74.96

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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.