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Finding the Fourth Proportional to 239.40, 358.50 and 204.87

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Solution

The fourth proportional to 239.40, 358.50 and 204.87 is: 306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.40 : 358.50 = 204.87 : x
  2. Step 2: Convert to fraction form
    239.40/358.50 = 204.87/x
  3. Step 3: Cross multiply
    239.40x = 358.50 × 204.87
  4. Step 4: Simplify right side
    239.40x = 73,445.90
  5. Step 5: Solve for x
    x = 73,445.90/239.40
  6. Step 6: Final answer
    x = 306.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.