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Finding the Fourth Proportional to 223.34, 308.11 and 149.70

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Solution

The fourth proportional to 223.34, 308.11 and 149.70 is: 206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.34 : 308.11 = 149.70 : x
  2. Step 2: Convert to fraction form
    223.34/308.11 = 149.70/x
  3. Step 3: Cross multiply
    223.34x = 308.11 × 149.70
  4. Step 4: Simplify right side
    223.34x = 46,124.07
  5. Step 5: Solve for x
    x = 46,124.07/223.34
  6. Step 6: Final answer
    x = 206.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.