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Finding the Fourth Proportional to 169.48, 233.52 and 158.92

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Solution

The fourth proportional to 169.48, 233.52 and 158.92 is: 218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.48 : 233.52 = 158.92 : x
  2. Step 2: Convert to fraction form
    169.48/233.52 = 158.92/x
  3. Step 3: Cross multiply
    169.48x = 233.52 × 158.92
  4. Step 4: Simplify right side
    169.48x = 37,111.00
  5. Step 5: Solve for x
    x = 37,111.00/169.48
  6. Step 6: Final answer
    x = 218.97

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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.