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Finding the Fourth Proportional to 175.80, 242.54 and 102.09

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Solution

The fourth proportional to 175.80, 242.54 and 102.09 is: 140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.80 : 242.54 = 102.09 : x
  2. Step 2: Convert to fraction form
    175.80/242.54 = 102.09/x
  3. Step 3: Cross multiply
    175.80x = 242.54 × 102.09
  4. Step 4: Simplify right side
    175.80x = 24,760.22
  5. Step 5: Solve for x
    x = 24,760.22/175.80
  6. Step 6: Final answer
    x = 140.85

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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.