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Finding the Fourth Proportional to 176.88, 266.25 and 125.87

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Solution

The fourth proportional to 176.88, 266.25 and 125.87 is: 189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.88 : 266.25 = 125.87 : x
  2. Step 2: Convert to fraction form
    176.88/266.25 = 125.87/x
  3. Step 3: Cross multiply
    176.88x = 266.25 × 125.87
  4. Step 4: Simplify right side
    176.88x = 33,513.95
  5. Step 5: Solve for x
    x = 33,513.95/176.88
  6. Step 6: Final answer
    x = 189.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.