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Finding the Fourth Proportional to 59.64, 81.84 and 58.11

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Solution

The fourth proportional to 59.64, 81.84 and 58.11 is: 79.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.64 : 81.84 = 58.11 : x
  2. Step 2: Convert to fraction form
    59.64/81.84 = 58.11/x
  3. Step 3: Cross multiply
    59.64x = 81.84 × 58.11
  4. Step 4: Simplify right side
    59.64x = 4,755.31
  5. Step 5: Solve for x
    x = 4,755.31/59.64
  6. Step 6: Final answer
    x = 79.74

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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.