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Finding the Fourth Proportional to 489.36, 734.06 and 272.77

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Solution

The fourth proportional to 489.36, 734.06 and 272.77 is: 409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.36 : 734.06 = 272.77 : x
  2. Step 2: Convert to fraction form
    489.36/734.06 = 272.77/x
  3. Step 3: Cross multiply
    489.36x = 734.06 × 272.77
  4. Step 4: Simplify right side
    489.36x = 200,229.55
  5. Step 5: Solve for x
    x = 200,229.55/489.36
  6. Step 6: Final answer
    x = 409.17

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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.