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Finding the Fourth Proportional to 293.57, 405.20 and 231.46

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Solution

The fourth proportional to 293.57, 405.20 and 231.46 is: 319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.57 : 405.20 = 231.46 : x
  2. Step 2: Convert to fraction form
    293.57/405.20 = 231.46/x
  3. Step 3: Cross multiply
    293.57x = 405.20 × 231.46
  4. Step 4: Simplify right side
    293.57x = 93,787.16
  5. Step 5: Solve for x
    x = 93,787.16/293.57
  6. Step 6: Final answer
    x = 319.47

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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.