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Finding the Fourth Proportional to 52.41, 77.75 and 51.90

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Solution

The fourth proportional to 52.41, 77.75 and 51.90 is: 76.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.41 : 77.75 = 51.90 : x
  2. Step 2: Convert to fraction form
    52.41/77.75 = 51.90/x
  3. Step 3: Cross multiply
    52.41x = 77.75 × 51.90
  4. Step 4: Simplify right side
    52.41x = 4,034.97
  5. Step 5: Solve for x
    x = 4,034.97/52.41
  6. Step 6: Final answer
    x = 76.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.