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Finding the Fourth Proportional to 863.31, 1,295.18 and 247.07

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Solution

The fourth proportional to 863.31, 1,295.18 and 247.07 is: 370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.31 : 1,295.18 = 247.07 : x
  2. Step 2: Convert to fraction form
    863.31/1,295.18 = 247.07/x
  3. Step 3: Cross multiply
    863.31x = 1,295.18 × 247.07
  4. Step 4: Simplify right side
    863.31x = 319,999.12
  5. Step 5: Solve for x
    x = 319,999.12/863.31
  6. Step 6: Final answer
    x = 370.67

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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.