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Finding the Fourth Proportional to 456.46, 683.72 and 239.38

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Solution

The fourth proportional to 456.46, 683.72 and 239.38 is: 358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.46 : 683.72 = 239.38 : x
  2. Step 2: Convert to fraction form
    456.46/683.72 = 239.38/x
  3. Step 3: Cross multiply
    456.46x = 683.72 × 239.38
  4. Step 4: Simplify right side
    456.46x = 163,668.89
  5. Step 5: Solve for x
    x = 163,668.89/456.46
  6. Step 6: Final answer
    x = 358.56

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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.