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Finding the Fourth Proportional to 175.25, 261.48 and 171.14

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Solution

The fourth proportional to 175.25, 261.48 and 171.14 is: 255.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.25 : 261.48 = 171.14 : x
  2. Step 2: Convert to fraction form
    175.25/261.48 = 171.14/x
  3. Step 3: Cross multiply
    175.25x = 261.48 × 171.14
  4. Step 4: Simplify right side
    175.25x = 44,748.38
  5. Step 5: Solve for x
    x = 44,748.38/175.25
  6. Step 6: Final answer
    x = 255.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.