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Finding the Fourth Proportional to 237.23, 354.78 and 154.74

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Solution

The fourth proportional to 237.23, 354.78 and 154.74 is: 231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.23 : 354.78 = 154.74 : x
  2. Step 2: Convert to fraction form
    237.23/354.78 = 154.74/x
  3. Step 3: Cross multiply
    237.23x = 354.78 × 154.74
  4. Step 4: Simplify right side
    237.23x = 54,899.99
  5. Step 5: Solve for x
    x = 54,899.99/237.23
  6. Step 6: Final answer
    x = 231.42

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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.