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Finding the Fourth Proportional to 293.36, 403.80 and 243.68

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Solution

The fourth proportional to 293.36, 403.80 and 243.68 is: 335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.36 : 403.80 = 243.68 : x
  2. Step 2: Convert to fraction form
    293.36/403.80 = 243.68/x
  3. Step 3: Cross multiply
    293.36x = 403.80 × 243.68
  4. Step 4: Simplify right side
    293.36x = 98,397.98
  5. Step 5: Solve for x
    x = 98,397.98/293.36
  6. Step 6: Final answer
    x = 335.42

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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.