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Finding the Fourth Proportional to 293.91, 439.69 and 228.41

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Solution

The fourth proportional to 293.91, 439.69 and 228.41 is: 341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.91 : 439.69 = 228.41 : x
  2. Step 2: Convert to fraction form
    293.91/439.69 = 228.41/x
  3. Step 3: Cross multiply
    293.91x = 439.69 × 228.41
  4. Step 4: Simplify right side
    293.91x = 100,428.49
  5. Step 5: Solve for x
    x = 100,428.49/293.91
  6. Step 6: Final answer
    x = 341.70

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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.