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Finding the Fourth Proportional to 175.74, 240.42 and 175.20

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Solution

The fourth proportional to 175.74, 240.42 and 175.20 is: 239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.74 : 240.42 = 175.20 : x
  2. Step 2: Convert to fraction form
    175.74/240.42 = 175.20/x
  3. Step 3: Cross multiply
    175.74x = 240.42 × 175.20
  4. Step 4: Simplify right side
    175.74x = 42,121.58
  5. Step 5: Solve for x
    x = 42,121.58/175.74
  6. Step 6: Final answer
    x = 239.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.