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Finding the Fourth Proportional to 55.40, 82.71 and 54.05

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Solution

The fourth proportional to 55.40, 82.71 and 54.05 is: 80.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.40 : 82.71 = 54.05 : x
  2. Step 2: Convert to fraction form
    55.40/82.71 = 54.05/x
  3. Step 3: Cross multiply
    55.40x = 82.71 × 54.05
  4. Step 4: Simplify right side
    55.40x = 4,470.06
  5. Step 5: Solve for x
    x = 4,470.06/55.40
  6. Step 6: Final answer
    x = 80.69

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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.