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Finding the Fourth Proportional to 293.66, 439.74 and 228.44

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Solution

The fourth proportional to 293.66, 439.74 and 228.44 is: 342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.66 : 439.74 = 228.44 : x
  2. Step 2: Convert to fraction form
    293.66/439.74 = 228.44/x
  3. Step 3: Cross multiply
    293.66x = 439.74 × 228.44
  4. Step 4: Simplify right side
    293.66x = 100,454.21
  5. Step 5: Solve for x
    x = 100,454.21/293.66
  6. Step 6: Final answer
    x = 342.08

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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.