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Finding the Fourth Proportional to 242.71, 335.09 and 217.81

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Solution

The fourth proportional to 242.71, 335.09 and 217.81 is: 300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.71 : 335.09 = 217.81 : x
  2. Step 2: Convert to fraction form
    242.71/335.09 = 217.81/x
  3. Step 3: Cross multiply
    242.71x = 335.09 × 217.81
  4. Step 4: Simplify right side
    242.71x = 72,983.19
  5. Step 5: Solve for x
    x = 72,983.19/242.71
  6. Step 6: Final answer
    x = 300.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.