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Finding the Fourth Proportional to 293.02, 404.40 and 194.74

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Solution

The fourth proportional to 293.02, 404.40 and 194.74 is: 268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.02 : 404.40 = 194.74 : x
  2. Step 2: Convert to fraction form
    293.02/404.40 = 194.74/x
  3. Step 3: Cross multiply
    293.02x = 404.40 × 194.74
  4. Step 4: Simplify right side
    293.02x = 78,752.86
  5. Step 5: Solve for x
    x = 78,752.86/293.02
  6. Step 6: Final answer
    x = 268.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.