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Finding the Fourth Proportional to 861.50, 1,292.23 and 212.24

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Solution

The fourth proportional to 861.50, 1,292.23 and 212.24 is: 318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.50 : 1,292.23 = 212.24 : x
  2. Step 2: Convert to fraction form
    861.50/1,292.23 = 212.24/x
  3. Step 3: Cross multiply
    861.50x = 1,292.23 × 212.24
  4. Step 4: Simplify right side
    861.50x = 274,256.70
  5. Step 5: Solve for x
    x = 274,256.70/861.50
  6. Step 6: Final answer
    x = 318.35

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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.