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Finding the Fourth Proportional to 55.28, 76.61 and 52.18

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Solution

The fourth proportional to 55.28, 76.61 and 52.18 is: 72.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.28 : 76.61 = 52.18 : x
  2. Step 2: Convert to fraction form
    55.28/76.61 = 52.18/x
  3. Step 3: Cross multiply
    55.28x = 76.61 × 52.18
  4. Step 4: Simplify right side
    55.28x = 3,997.45
  5. Step 5: Solve for x
    x = 3,997.45/55.28
  6. Step 6: Final answer
    x = 72.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.