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Finding the Fourth Proportional to 240.68, 359.32 and 204.24

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Solution

The fourth proportional to 240.68, 359.32 and 204.24 is: 304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.68 : 359.32 = 204.24 : x
  2. Step 2: Convert to fraction form
    240.68/359.32 = 204.24/x
  3. Step 3: Cross multiply
    240.68x = 359.32 × 204.24
  4. Step 4: Simplify right side
    240.68x = 73,387.52
  5. Step 5: Solve for x
    x = 73,387.52/240.68
  6. Step 6: Final answer
    x = 304.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.