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Finding the Fourth Proportional to 293.32, 439.48 and 171.28

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Solution

The fourth proportional to 293.32, 439.48 and 171.28 is: 256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.32 : 439.48 = 171.28 : x
  2. Step 2: Convert to fraction form
    293.32/439.48 = 171.28/x
  3. Step 3: Cross multiply
    293.32x = 439.48 × 171.28
  4. Step 4: Simplify right side
    293.32x = 75,274.13
  5. Step 5: Solve for x
    x = 75,274.13/293.32
  6. Step 6: Final answer
    x = 256.63

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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.