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Finding the Fourth Proportional to 148.09, 221.87 and 79.59

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Solution

The fourth proportional to 148.09, 221.87 and 79.59 is: 119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.09 : 221.87 = 79.59 : x
  2. Step 2: Convert to fraction form
    148.09/221.87 = 79.59/x
  3. Step 3: Cross multiply
    148.09x = 221.87 × 79.59
  4. Step 4: Simplify right side
    148.09x = 17,658.24
  5. Step 5: Solve for x
    x = 17,658.24/148.09
  6. Step 6: Final answer
    x = 119.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.