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Finding the Fourth Proportional to 175.39, 261.55 and 173.86

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Solution

The fourth proportional to 175.39, 261.55 and 173.86 is: 259.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.39 : 261.55 = 173.86 : x
  2. Step 2: Convert to fraction form
    175.39/261.55 = 173.86/x
  3. Step 3: Cross multiply
    175.39x = 261.55 × 173.86
  4. Step 4: Simplify right side
    175.39x = 45,473.08
  5. Step 5: Solve for x
    x = 45,473.08/175.39
  6. Step 6: Final answer
    x = 259.27

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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.