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Finding the Fourth Proportional to 55.71, 76.80 and 39.33

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Solution

The fourth proportional to 55.71, 76.80 and 39.33 is: 54.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.71 : 76.80 = 39.33 : x
  2. Step 2: Convert to fraction form
    55.71/76.80 = 39.33/x
  3. Step 3: Cross multiply
    55.71x = 76.80 × 39.33
  4. Step 4: Simplify right side
    55.71x = 3,020.54
  5. Step 5: Solve for x
    x = 3,020.54/55.71
  6. Step 6: Final answer
    x = 54.22

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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.