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Finding the Fourth Proportional to 52.91, 78.98 and 50.61

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Solution

The fourth proportional to 52.91, 78.98 and 50.61 is: 75.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.91 : 78.98 = 50.61 : x
  2. Step 2: Convert to fraction form
    52.91/78.98 = 50.61/x
  3. Step 3: Cross multiply
    52.91x = 78.98 × 50.61
  4. Step 4: Simplify right side
    52.91x = 3,997.18
  5. Step 5: Solve for x
    x = 3,997.18/52.91
  6. Step 6: Final answer
    x = 75.55

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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.