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Finding the Fourth Proportional to 242.11, 333.31 and 217.50

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Solution

The fourth proportional to 242.11, 333.31 and 217.50 is: 299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.11 : 333.31 = 217.50 : x
  2. Step 2: Convert to fraction form
    242.11/333.31 = 217.50/x
  3. Step 3: Cross multiply
    242.11x = 333.31 × 217.50
  4. Step 4: Simplify right side
    242.11x = 72,494.93
  5. Step 5: Solve for x
    x = 72,494.93/242.11
  6. Step 6: Final answer
    x = 299.43

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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.