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Finding the Fourth Proportional to 175.20, 239.98 and 174.72

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Solution

The fourth proportional to 175.20, 239.98 and 174.72 is: 239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.20 : 239.98 = 174.72 : x
  2. Step 2: Convert to fraction form
    175.20/239.98 = 174.72/x
  3. Step 3: Cross multiply
    175.20x = 239.98 × 174.72
  4. Step 4: Simplify right side
    175.20x = 41,929.31
  5. Step 5: Solve for x
    x = 41,929.31/175.20
  6. Step 6: Final answer
    x = 239.32

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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.