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Finding the Fourth Proportional to 235.80, 354.06 and 149.68

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Solution

The fourth proportional to 235.80, 354.06 and 149.68 is: 224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.80 : 354.06 = 149.68 : x
  2. Step 2: Convert to fraction form
    235.80/354.06 = 149.68/x
  3. Step 3: Cross multiply
    235.80x = 354.06 × 149.68
  4. Step 4: Simplify right side
    235.80x = 52,995.70
  5. Step 5: Solve for x
    x = 52,995.70/235.80
  6. Step 6: Final answer
    x = 224.75

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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.