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Finding the Fourth Proportional to 159.65, 220.31 and 94.16

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Solution

The fourth proportional to 159.65, 220.31 and 94.16 is: 129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.65 : 220.31 = 94.16 : x
  2. Step 2: Convert to fraction form
    159.65/220.31 = 94.16/x
  3. Step 3: Cross multiply
    159.65x = 220.31 × 94.16
  4. Step 4: Simplify right side
    159.65x = 20,743.52
  5. Step 5: Solve for x
    x = 20,743.52/159.65
  6. Step 6: Final answer
    x = 129.93

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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.