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Finding the Fourth Proportional to 55.47, 82.71 and 52.05

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Solution

The fourth proportional to 55.47, 82.71 and 52.05 is: 77.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.47 : 82.71 = 52.05 : x
  2. Step 2: Convert to fraction form
    55.47/82.71 = 52.05/x
  3. Step 3: Cross multiply
    55.47x = 82.71 × 52.05
  4. Step 4: Simplify right side
    55.47x = 4,305.06
  5. Step 5: Solve for x
    x = 4,305.06/55.47
  6. Step 6: Final answer
    x = 77.61

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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.