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Finding the Fourth Proportional to 169.52, 233.94 and 128.00

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Solution

The fourth proportional to 169.52, 233.94 and 128.00 is: 176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.52 : 233.94 = 128.00 : x
  2. Step 2: Convert to fraction form
    169.52/233.94 = 128.00/x
  3. Step 3: Cross multiply
    169.52x = 233.94 × 128.00
  4. Step 4: Simplify right side
    169.52x = 29,943.15
  5. Step 5: Solve for x
    x = 29,943.15/169.52
  6. Step 6: Final answer
    x = 176.64

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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.