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Finding the Fourth Proportional to 489.32, 734.27 and 181.39

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Solution

The fourth proportional to 489.32, 734.27 and 181.39 is: 272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.32 : 734.27 = 181.39 : x
  2. Step 2: Convert to fraction form
    489.32/734.27 = 181.39/x
  3. Step 3: Cross multiply
    489.32x = 734.27 × 181.39
  4. Step 4: Simplify right side
    489.32x = 133,190.61
  5. Step 5: Solve for x
    x = 133,190.61/489.32
  6. Step 6: Final answer
    x = 272.19

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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.