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Finding the Fourth Proportional to 293.20, 439.78 and 87.77

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Solution

The fourth proportional to 293.20, 439.78 and 87.77 is: 131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.20 : 439.78 = 87.77 : x
  2. Step 2: Convert to fraction form
    293.20/439.78 = 87.77/x
  3. Step 3: Cross multiply
    293.20x = 439.78 × 87.77
  4. Step 4: Simplify right side
    293.20x = 38,599.49
  5. Step 5: Solve for x
    x = 38,599.49/293.20
  6. Step 6: Final answer
    x = 131.65

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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.