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Finding the Fourth Proportional to 242.94, 333.94 and 217.83

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Solution

The fourth proportional to 242.94, 333.94 and 217.83 is: 299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.94 : 333.94 = 217.83 : x
  2. Step 2: Convert to fraction form
    242.94/333.94 = 217.83/x
  3. Step 3: Cross multiply
    242.94x = 333.94 × 217.83
  4. Step 4: Simplify right side
    242.94x = 72,741.61
  5. Step 5: Solve for x
    x = 72,741.61/242.94
  6. Step 6: Final answer
    x = 299.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.