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Finding the Fourth Proportional to 863.45, 1,295.18 and 247.16

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Solution

The fourth proportional to 863.45, 1,295.18 and 247.16 is: 370.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.45 : 1,295.18 = 247.16 : x
  2. Step 2: Convert to fraction form
    863.45/1,295.18 = 247.16/x
  3. Step 3: Cross multiply
    863.45x = 1,295.18 × 247.16
  4. Step 4: Simplify right side
    863.45x = 320,108.98
  5. Step 5: Solve for x
    x = 320,108.98/863.45
  6. Step 6: Final answer
    x = 370.73

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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.