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Finding the Fourth Proportional to 175.33, 242.04 and 128.80

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Solution

The fourth proportional to 175.33, 242.04 and 128.80 is: 177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.33 : 242.04 = 128.80 : x
  2. Step 2: Convert to fraction form
    175.33/242.04 = 128.80/x
  3. Step 3: Cross multiply
    175.33x = 242.04 × 128.80
  4. Step 4: Simplify right side
    175.33x = 31,174.75
  5. Step 5: Solve for x
    x = 31,174.75/175.33
  6. Step 6: Final answer
    x = 177.81

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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.