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Finding the Fourth Proportional to 335.67, 502.72 and 161.78

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Solution

The fourth proportional to 335.67, 502.72 and 161.78 is: 242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.67 : 502.72 = 161.78 : x
  2. Step 2: Convert to fraction form
    335.67/502.72 = 161.78/x
  3. Step 3: Cross multiply
    335.67x = 502.72 × 161.78
  4. Step 4: Simplify right side
    335.67x = 81,330.04
  5. Step 5: Solve for x
    x = 81,330.04/335.67
  6. Step 6: Final answer
    x = 242.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.