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Finding the Fourth Proportional to 59.20, 81.44 and 58.08

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Solution

The fourth proportional to 59.20, 81.44 and 58.08 is: 79.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.20 : 81.44 = 58.08 : x
  2. Step 2: Convert to fraction form
    59.20/81.44 = 58.08/x
  3. Step 3: Cross multiply
    59.20x = 81.44 × 58.08
  4. Step 4: Simplify right side
    59.20x = 4,730.04
  5. Step 5: Solve for x
    x = 4,730.04/59.20
  6. Step 6: Final answer
    x = 79.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.