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Finding the Fourth Proportional to 55.71, 76.37 and 54.79

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Solution

The fourth proportional to 55.71, 76.37 and 54.79 is: 75.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.71 : 76.37 = 54.79 : x
  2. Step 2: Convert to fraction form
    55.71/76.37 = 54.79/x
  3. Step 3: Cross multiply
    55.71x = 76.37 × 54.79
  4. Step 4: Simplify right side
    55.71x = 4,184.31
  5. Step 5: Solve for x
    x = 4,184.31/55.71
  6. Step 6: Final answer
    x = 75.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.