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Finding the Fourth Proportional to 862.50, 1,293.76 and 213.24

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Solution

The fourth proportional to 862.50, 1,293.76 and 213.24 is: 319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.50 : 1,293.76 = 213.24 : x
  2. Step 2: Convert to fraction form
    862.50/1,293.76 = 213.24/x
  3. Step 3: Cross multiply
    862.50x = 1,293.76 × 213.24
  4. Step 4: Simplify right side
    862.50x = 275,881.38
  5. Step 5: Solve for x
    x = 275,881.38/862.50
  6. Step 6: Final answer
    x = 319.86

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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.