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Finding the Fourth Proportional to 58.41, 87.17 and 54.90

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Solution

The fourth proportional to 58.41, 87.17 and 54.90 is: 81.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.41 : 87.17 = 54.90 : x
  2. Step 2: Convert to fraction form
    58.41/87.17 = 54.90/x
  3. Step 3: Cross multiply
    58.41x = 87.17 × 54.90
  4. Step 4: Simplify right side
    58.41x = 4,785.36
  5. Step 5: Solve for x
    x = 4,785.36/58.41
  6. Step 6: Final answer
    x = 81.93

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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.