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Finding the Fourth Proportional to 293.54, 439.80 and 235.46

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Solution

The fourth proportional to 293.54, 439.80 and 235.46 is: 352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.54 : 439.80 = 235.46 : x
  2. Step 2: Convert to fraction form
    293.54/439.80 = 235.46/x
  3. Step 3: Cross multiply
    293.54x = 439.80 × 235.46
  4. Step 4: Simplify right side
    293.54x = 103,555.31
  5. Step 5: Solve for x
    x = 103,555.31/293.54
  6. Step 6: Final answer
    x = 352.78

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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.