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Finding the Fourth Proportional to 55.71, 76.90 and 48.81

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Solution

The fourth proportional to 55.71, 76.90 and 48.81 is: 67.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.71 : 76.90 = 48.81 : x
  2. Step 2: Convert to fraction form
    55.71/76.90 = 48.81/x
  3. Step 3: Cross multiply
    55.71x = 76.90 × 48.81
  4. Step 4: Simplify right side
    55.71x = 3,753.10
  5. Step 5: Solve for x
    x = 3,753.10/55.71
  6. Step 6: Final answer
    x = 67.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.