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Finding the Fourth Proportional to 59.16, 80.91 and 58.21

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Solution

The fourth proportional to 59.16, 80.91 and 58.21 is: 79.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.16 : 80.91 = 58.21 : x
  2. Step 2: Convert to fraction form
    59.16/80.91 = 58.21/x
  3. Step 3: Cross multiply
    59.16x = 80.91 × 58.21
  4. Step 4: Simplify right side
    59.16x = 4,709.77
  5. Step 5: Solve for x
    x = 4,709.77/59.16
  6. Step 6: Final answer
    x = 79.62

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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.