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Finding the Fourth Proportional to 489.71, 734.94 and 246.11

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Solution

The fourth proportional to 489.71, 734.94 and 246.11 is: 369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.71 : 734.94 = 246.11 : x
  2. Step 2: Convert to fraction form
    489.71/734.94 = 246.11/x
  3. Step 3: Cross multiply
    489.71x = 734.94 × 246.11
  4. Step 4: Simplify right side
    489.71x = 180,872.41
  5. Step 5: Solve for x
    x = 180,872.41/489.71
  6. Step 6: Final answer
    x = 369.34

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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.