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Finding the Fourth Proportional to 175.14, 261.23 and 171.90

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Solution

The fourth proportional to 175.14, 261.23 and 171.90 is: 256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.14 : 261.23 = 171.90 : x
  2. Step 2: Convert to fraction form
    175.14/261.23 = 171.90/x
  3. Step 3: Cross multiply
    175.14x = 261.23 × 171.90
  4. Step 4: Simplify right side
    175.14x = 44,904.58
  5. Step 5: Solve for x
    x = 44,904.58/175.14
  6. Step 6: Final answer
    x = 256.39

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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.