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Finding the Fourth Proportional to 159.92, 220.54 and 148.13

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Solution

The fourth proportional to 159.92, 220.54 and 148.13 is: 204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.92 : 220.54 = 148.13 : x
  2. Step 2: Convert to fraction form
    159.92/220.54 = 148.13/x
  3. Step 3: Cross multiply
    159.92x = 220.54 × 148.13
  4. Step 4: Simplify right side
    159.92x = 32,668.84
  5. Step 5: Solve for x
    x = 32,668.84/159.92
  6. Step 6: Final answer
    x = 204.28

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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.