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Finding the Fourth Proportional to 489.40, 734.18 and 200.68

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Solution

The fourth proportional to 489.40, 734.18 and 200.68 is: 301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.40 : 734.18 = 200.68 : x
  2. Step 2: Convert to fraction form
    489.40/734.18 = 200.68/x
  3. Step 3: Cross multiply
    489.40x = 734.18 × 200.68
  4. Step 4: Simplify right side
    489.40x = 147,335.24
  5. Step 5: Solve for x
    x = 147,335.24/489.40
  6. Step 6: Final answer
    x = 301.05

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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.