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Finding the Fourth Proportional to 159.74, 220.34 and 94.24

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Solution

The fourth proportional to 159.74, 220.34 and 94.24 is: 129.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.74 : 220.34 = 94.24 : x
  2. Step 2: Convert to fraction form
    159.74/220.34 = 94.24/x
  3. Step 3: Cross multiply
    159.74x = 220.34 × 94.24
  4. Step 4: Simplify right side
    159.74x = 20,764.84
  5. Step 5: Solve for x
    x = 20,764.84/159.74
  6. Step 6: Final answer
    x = 129.99

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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.