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Finding the Fourth Proportional to 55.40, 82.71 and 48.20

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Solution

The fourth proportional to 55.40, 82.71 and 48.20 is: 71.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.40 : 82.71 = 48.20 : x
  2. Step 2: Convert to fraction form
    55.40/82.71 = 48.20/x
  3. Step 3: Cross multiply
    55.40x = 82.71 × 48.20
  4. Step 4: Simplify right side
    55.40x = 3,986.21
  5. Step 5: Solve for x
    x = 3,986.21/55.40
  6. Step 6: Final answer
    x = 71.96

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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.