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Finding the Fourth Proportional to 237.88, 354.74 and 211.65

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Solution

The fourth proportional to 237.88, 354.74 and 211.65 is: 315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.88 : 354.74 = 211.65 : x
  2. Step 2: Convert to fraction form
    237.88/354.74 = 211.65/x
  3. Step 3: Cross multiply
    237.88x = 354.74 × 211.65
  4. Step 4: Simplify right side
    237.88x = 75,080.72
  5. Step 5: Solve for x
    x = 75,080.72/237.88
  6. Step 6: Final answer
    x = 315.62

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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.