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Finding the Fourth Proportional to 489.15, 732.51 and 272.27

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Solution

The fourth proportional to 489.15, 732.51 and 272.27 is: 407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.15 : 732.51 = 272.27 : x
  2. Step 2: Convert to fraction form
    489.15/732.51 = 272.27/x
  3. Step 3: Cross multiply
    489.15x = 732.51 × 272.27
  4. Step 4: Simplify right side
    489.15x = 199,442.33
  5. Step 5: Solve for x
    x = 199,442.33/489.15
  6. Step 6: Final answer
    x = 407.73

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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.