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Finding the Fourth Proportional to 175.13, 261.37 and 171.03

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Solution

The fourth proportional to 175.13, 261.37 and 171.03 is: 255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.13 : 261.37 = 171.03 : x
  2. Step 2: Convert to fraction form
    175.13/261.37 = 171.03/x
  3. Step 3: Cross multiply
    175.13x = 261.37 × 171.03
  4. Step 4: Simplify right side
    175.13x = 44,702.11
  5. Step 5: Solve for x
    x = 44,702.11/175.13
  6. Step 6: Final answer
    x = 255.25

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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.