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Finding the Fourth Proportional to 52.34, 77.89 and 50.90

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Solution

The fourth proportional to 52.34, 77.89 and 50.90 is: 75.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.34 : 77.89 = 50.90 : x
  2. Step 2: Convert to fraction form
    52.34/77.89 = 50.90/x
  3. Step 3: Cross multiply
    52.34x = 77.89 × 50.90
  4. Step 4: Simplify right side
    52.34x = 3,964.60
  5. Step 5: Solve for x
    x = 3,964.60/52.34
  6. Step 6: Final answer
    x = 75.75

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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.