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Finding the Fourth Proportional to 59.16, 89.07 and 54.20

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Solution

The fourth proportional to 59.16, 89.07 and 54.20 is: 81.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.16 : 89.07 = 54.20 : x
  2. Step 2: Convert to fraction form
    59.16/89.07 = 54.20/x
  3. Step 3: Cross multiply
    59.16x = 89.07 × 54.20
  4. Step 4: Simplify right side
    59.16x = 4,827.59
  5. Step 5: Solve for x
    x = 4,827.59/59.16
  6. Step 6: Final answer
    x = 81.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.