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Finding the Fourth Proportional to 242.99, 333.14 and 238.61

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Solution

The fourth proportional to 242.99, 333.14 and 238.61 is: 327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.99 : 333.14 = 238.61 : x
  2. Step 2: Convert to fraction form
    242.99/333.14 = 238.61/x
  3. Step 3: Cross multiply
    242.99x = 333.14 × 238.61
  4. Step 4: Simplify right side
    242.99x = 79,491.74
  5. Step 5: Solve for x
    x = 79,491.74/242.99
  6. Step 6: Final answer
    x = 327.14

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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.