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Finding the Fourth Proportional to 456.32, 683.32 and 301.78

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Solution

The fourth proportional to 456.32, 683.32 and 301.78 is: 451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.32 : 683.32 = 301.78 : x
  2. Step 2: Convert to fraction form
    456.32/683.32 = 301.78/x
  3. Step 3: Cross multiply
    456.32x = 683.32 × 301.78
  4. Step 4: Simplify right side
    456.32x = 206,210.40
  5. Step 5: Solve for x
    x = 206,210.40/456.32
  6. Step 6: Final answer
    x = 451.90

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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.