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Finding the Fourth Proportional to 237.24, 327.15 and 154.26

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Solution

The fourth proportional to 237.24, 327.15 and 154.26 is: 212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.24 : 327.15 = 154.26 : x
  2. Step 2: Convert to fraction form
    237.24/327.15 = 154.26/x
  3. Step 3: Cross multiply
    237.24x = 327.15 × 154.26
  4. Step 4: Simplify right side
    237.24x = 50,466.16
  5. Step 5: Solve for x
    x = 50,466.16/237.24
  6. Step 6: Final answer
    x = 212.72

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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.