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Finding the Fourth Proportional to 293.29, 439.37 and 280.93

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Solution

The fourth proportional to 293.29, 439.37 and 280.93 is: 420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.29 : 439.37 = 280.93 : x
  2. Step 2: Convert to fraction form
    293.29/439.37 = 280.93/x
  3. Step 3: Cross multiply
    293.29x = 439.37 × 280.93
  4. Step 4: Simplify right side
    293.29x = 123,432.21
  5. Step 5: Solve for x
    x = 123,432.21/293.29
  6. Step 6: Final answer
    x = 420.85

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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.