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Finding the Fourth Proportional to 174.51, 240.78 and 125.49

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Solution

The fourth proportional to 174.51, 240.78 and 125.49 is: 173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.51 : 240.78 = 125.49 : x
  2. Step 2: Convert to fraction form
    174.51/240.78 = 125.49/x
  3. Step 3: Cross multiply
    174.51x = 240.78 × 125.49
  4. Step 4: Simplify right side
    174.51x = 30,215.48
  5. Step 5: Solve for x
    x = 30,215.48/174.51
  6. Step 6: Final answer
    x = 173.14

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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.