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Finding the Fourth Proportional to 173.32, 261.31 and 161.57

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Solution

The fourth proportional to 173.32, 261.31 and 161.57 is: 243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.32 : 261.31 = 161.57 : x
  2. Step 2: Convert to fraction form
    173.32/261.31 = 161.57/x
  3. Step 3: Cross multiply
    173.32x = 261.31 × 161.57
  4. Step 4: Simplify right side
    173.32x = 42,219.86
  5. Step 5: Solve for x
    x = 42,219.86/173.32
  6. Step 6: Final answer
    x = 243.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.