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Finding the Fourth Proportional to 293.46, 442.20 and 243.23

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Solution

The fourth proportional to 293.46, 442.20 and 243.23 is: 366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.46 : 442.20 = 243.23 : x
  2. Step 2: Convert to fraction form
    293.46/442.20 = 243.23/x
  3. Step 3: Cross multiply
    293.46x = 442.20 × 243.23
  4. Step 4: Simplify right side
    293.46x = 107,554.10
  5. Step 5: Solve for x
    x = 107,554.10/293.46
  6. Step 6: Final answer
    x = 366.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.