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Finding the Fourth Proportional to 59.15, 88.21 and 54.02

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Solution

The fourth proportional to 59.15, 88.21 and 54.02 is: 80.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.15 : 88.21 = 54.02 : x
  2. Step 2: Convert to fraction form
    59.15/88.21 = 54.02/x
  3. Step 3: Cross multiply
    59.15x = 88.21 × 54.02
  4. Step 4: Simplify right side
    59.15x = 4,765.10
  5. Step 5: Solve for x
    x = 4,765.10/59.15
  6. Step 6: Final answer
    x = 80.56

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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.