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Finding the Fourth Proportional to 237.31, 354.36 and 194.06

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Solution

The fourth proportional to 237.31, 354.36 and 194.06 is: 289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.31 : 354.36 = 194.06 : x
  2. Step 2: Convert to fraction form
    237.31/354.36 = 194.06/x
  3. Step 3: Cross multiply
    237.31x = 354.36 × 194.06
  4. Step 4: Simplify right side
    237.31x = 68,767.10
  5. Step 5: Solve for x
    x = 68,767.10/237.31
  6. Step 6: Final answer
    x = 289.78

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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.