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Finding the Fourth Proportional to 169.59, 233.94 and 128.16

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Solution

The fourth proportional to 169.59, 233.94 and 128.16 is: 176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.59 : 233.94 = 128.16 : x
  2. Step 2: Convert to fraction form
    169.59/233.94 = 128.16/x
  3. Step 3: Cross multiply
    169.59x = 233.94 × 128.16
  4. Step 4: Simplify right side
    169.59x = 29,981.75
  5. Step 5: Solve for x
    x = 29,981.75/169.59
  6. Step 6: Final answer
    x = 176.79

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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.