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Finding the Fourth Proportional to 175.40, 261.72 and 161.68

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Solution

The fourth proportional to 175.40, 261.72 and 161.68 is: 241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.40 : 261.72 = 161.68 : x
  2. Step 2: Convert to fraction form
    175.40/261.72 = 161.68/x
  3. Step 3: Cross multiply
    175.40x = 261.72 × 161.68
  4. Step 4: Simplify right side
    175.40x = 42,314.89
  5. Step 5: Solve for x
    x = 42,314.89/175.40
  6. Step 6: Final answer
    x = 241.25

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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.