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Finding the Fourth Proportional to 242.40, 332.24 and 239.04

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Solution

The fourth proportional to 242.40, 332.24 and 239.04 is: 327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.40 : 332.24 = 239.04 : x
  2. Step 2: Convert to fraction form
    242.40/332.24 = 239.04/x
  3. Step 3: Cross multiply
    242.40x = 332.24 × 239.04
  4. Step 4: Simplify right side
    242.40x = 79,418.65
  5. Step 5: Solve for x
    x = 79,418.65/242.40
  6. Step 6: Final answer
    x = 327.63

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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.