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Finding the Fourth Proportional to 52.52, 77.67 and 52.38

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Solution

The fourth proportional to 52.52, 77.67 and 52.38 is: 77.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.52 : 77.67 = 52.38 : x
  2. Step 2: Convert to fraction form
    52.52/77.67 = 52.38/x
  3. Step 3: Cross multiply
    52.52x = 77.67 × 52.38
  4. Step 4: Simplify right side
    52.52x = 4,068.35
  5. Step 5: Solve for x
    x = 4,068.35/52.52
  6. Step 6: Final answer
    x = 77.47

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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.