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Finding the Fourth Proportional to 489.24, 734.22 and 200.72

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Solution

The fourth proportional to 489.24, 734.22 and 200.72 is: 301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.24 : 734.22 = 200.72 : x
  2. Step 2: Convert to fraction form
    489.24/734.22 = 200.72/x
  3. Step 3: Cross multiply
    489.24x = 734.22 × 200.72
  4. Step 4: Simplify right side
    489.24x = 147,372.64
  5. Step 5: Solve for x
    x = 147,372.64/489.24
  6. Step 6: Final answer
    x = 301.23

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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.