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Finding the Fourth Proportional to 175.31, 261.53 and 166.80

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Solution

The fourth proportional to 175.31, 261.53 and 166.80 is: 248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.31 : 261.53 = 166.80 : x
  2. Step 2: Convert to fraction form
    175.31/261.53 = 166.80/x
  3. Step 3: Cross multiply
    175.31x = 261.53 × 166.80
  4. Step 4: Simplify right side
    175.31x = 43,623.62
  5. Step 5: Solve for x
    x = 43,623.62/175.31
  6. Step 6: Final answer
    x = 248.84

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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.