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Finding the Fourth Proportional to 242.38, 333.78 and 214.61

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Solution

The fourth proportional to 242.38, 333.78 and 214.61 is: 295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.38 : 333.78 = 214.61 : x
  2. Step 2: Convert to fraction form
    242.38/333.78 = 214.61/x
  3. Step 3: Cross multiply
    242.38x = 333.78 × 214.61
  4. Step 4: Simplify right side
    242.38x = 71,632.53
  5. Step 5: Solve for x
    x = 71,632.53/242.38
  6. Step 6: Final answer
    x = 295.54

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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.