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Finding the Fourth Proportional to 174.03, 238.88 and 153.92

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Solution

The fourth proportional to 174.03, 238.88 and 153.92 is: 211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.03 : 238.88 = 153.92 : x
  2. Step 2: Convert to fraction form
    174.03/238.88 = 153.92/x
  3. Step 3: Cross multiply
    174.03x = 238.88 × 153.92
  4. Step 4: Simplify right side
    174.03x = 36,766.83
  5. Step 5: Solve for x
    x = 36,766.83/174.03
  6. Step 6: Final answer
    x = 211.27

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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.