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Finding the Fourth Proportional to 237.23, 354.79 and 139.49

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Solution

The fourth proportional to 237.23, 354.79 and 139.49 is: 208.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.23 : 354.79 = 139.49 : x
  2. Step 2: Convert to fraction form
    237.23/354.79 = 139.49/x
  3. Step 3: Cross multiply
    237.23x = 354.79 × 139.49
  4. Step 4: Simplify right side
    237.23x = 49,487.19
  5. Step 5: Solve for x
    x = 49,487.19/237.23
  6. Step 6: Final answer
    x = 208.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.