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Finding the Fourth Proportional to 173.64, 240.69 and 161.76

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Solution

The fourth proportional to 173.64, 240.69 and 161.76 is: 224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.64 : 240.69 = 161.76 : x
  2. Step 2: Convert to fraction form
    173.64/240.69 = 161.76/x
  3. Step 3: Cross multiply
    173.64x = 240.69 × 161.76
  4. Step 4: Simplify right side
    173.64x = 38,934.01
  5. Step 5: Solve for x
    x = 38,934.01/173.64
  6. Step 6: Final answer
    x = 224.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.