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Finding the Fourth Proportional to 52.29, 77.97 and 49.47

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Solution

The fourth proportional to 52.29, 77.97 and 49.47 is: 73.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.29 : 77.97 = 49.47 : x
  2. Step 2: Convert to fraction form
    52.29/77.97 = 49.47/x
  3. Step 3: Cross multiply
    52.29x = 77.97 × 49.47
  4. Step 4: Simplify right side
    52.29x = 3,857.18
  5. Step 5: Solve for x
    x = 3,857.18/52.29
  6. Step 6: Final answer
    x = 73.77

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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.