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Finding the Fourth Proportional to 175.23, 242.33 and 174.15

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Solution

The fourth proportional to 175.23, 242.33 and 174.15 is: 240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.23 : 242.33 = 174.15 : x
  2. Step 2: Convert to fraction form
    175.23/242.33 = 174.15/x
  3. Step 3: Cross multiply
    175.23x = 242.33 × 174.15
  4. Step 4: Simplify right side
    175.23x = 42,200.90
  5. Step 5: Solve for x
    x = 42,200.90/175.23
  6. Step 6: Final answer
    x = 240.83

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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.