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Finding the Fourth Proportional to 456.31, 683.08 and 293.65

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Solution

The fourth proportional to 456.31, 683.08 and 293.65 is: 439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.31 : 683.08 = 293.65 : x
  2. Step 2: Convert to fraction form
    456.31/683.08 = 293.65/x
  3. Step 3: Cross multiply
    456.31x = 683.08 × 293.65
  4. Step 4: Simplify right side
    456.31x = 200,586.44
  5. Step 5: Solve for x
    x = 200,586.44/456.31
  6. Step 6: Final answer
    x = 439.58

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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.