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Finding the Fourth Proportional to 52.38, 77.50 and 52.22

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Solution

The fourth proportional to 52.38, 77.50 and 52.22 is: 77.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.38 : 77.50 = 52.22 : x
  2. Step 2: Convert to fraction form
    52.38/77.50 = 52.22/x
  3. Step 3: Cross multiply
    52.38x = 77.50 × 52.22
  4. Step 4: Simplify right side
    52.38x = 4,047.05
  5. Step 5: Solve for x
    x = 4,047.05/52.38
  6. Step 6: Final answer
    x = 77.26

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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.