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Finding the Fourth Proportional to 293.54, 442.32 and 243.30

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Solution

The fourth proportional to 293.54, 442.32 and 243.30 is: 366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.54 : 442.32 = 243.30 : x
  2. Step 2: Convert to fraction form
    293.54/442.32 = 243.30/x
  3. Step 3: Cross multiply
    293.54x = 442.32 × 243.30
  4. Step 4: Simplify right side
    293.54x = 107,616.46
  5. Step 5: Solve for x
    x = 107,616.46/293.54
  6. Step 6: Final answer
    x = 366.62

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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.