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Finding the Fourth Proportional to 273.40, 408.24 and 237.40

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Solution

The fourth proportional to 273.40, 408.24 and 237.40 is: 354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.40 : 408.24 = 237.40 : x
  2. Step 2: Convert to fraction form
    273.40/408.24 = 237.40/x
  3. Step 3: Cross multiply
    273.40x = 408.24 × 237.40
  4. Step 4: Simplify right side
    273.40x = 96,916.18
  5. Step 5: Solve for x
    x = 96,916.18/273.40
  6. Step 6: Final answer
    x = 354.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.