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Finding the Fourth Proportional to 292.92, 439.05 and 276.72

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Solution

The fourth proportional to 292.92, 439.05 and 276.72 is: 414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.92 : 439.05 = 276.72 : x
  2. Step 2: Convert to fraction form
    292.92/439.05 = 276.72/x
  3. Step 3: Cross multiply
    292.92x = 439.05 × 276.72
  4. Step 4: Simplify right side
    292.92x = 121,493.92
  5. Step 5: Solve for x
    x = 121,493.92/292.92
  6. Step 6: Final answer
    x = 414.77

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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.