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Finding the Fourth Proportional to 293.18, 439.22 and 177.71

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Solution

The fourth proportional to 293.18, 439.22 and 177.71 is: 266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.18 : 439.22 = 177.71 : x
  2. Step 2: Convert to fraction form
    293.18/439.22 = 177.71/x
  3. Step 3: Cross multiply
    293.18x = 439.22 × 177.71
  4. Step 4: Simplify right side
    293.18x = 78,053.79
  5. Step 5: Solve for x
    x = 78,053.79/293.18
  6. Step 6: Final answer
    x = 266.23

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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.