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Finding the Fourth Proportional to 175.56, 261.91 and 167.05

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Solution

The fourth proportional to 175.56, 261.91 and 167.05 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.56 : 261.91 = 167.05 : x
  2. Step 2: Convert to fraction form
    175.56/261.91 = 167.05/x
  3. Step 3: Cross multiply
    175.56x = 261.91 × 167.05
  4. Step 4: Simplify right side
    175.56x = 43,752.07
  5. Step 5: Solve for x
    x = 43,752.07/175.56
  6. Step 6: Final answer
    x = 249.21

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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.