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Finding the Fourth Proportional to 293.02, 404.42 and 243.85

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Solution

The fourth proportional to 293.02, 404.42 and 243.85 is: 336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.02 : 404.42 = 243.85 : x
  2. Step 2: Convert to fraction form
    293.02/404.42 = 243.85/x
  3. Step 3: Cross multiply
    293.02x = 404.42 × 243.85
  4. Step 4: Simplify right side
    293.02x = 98,616.40
  5. Step 5: Solve for x
    x = 98,616.40/293.02
  6. Step 6: Final answer
    x = 336.56

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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.