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Finding the Fourth Proportional to 223.47, 308.60 and 149.96

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Solution

The fourth proportional to 223.47, 308.60 and 149.96 is: 207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.47 : 308.60 = 149.96 : x
  2. Step 2: Convert to fraction form
    223.47/308.60 = 149.96/x
  3. Step 3: Cross multiply
    223.47x = 308.60 × 149.96
  4. Step 4: Simplify right side
    223.47x = 46,277.66
  5. Step 5: Solve for x
    x = 46,277.66/223.47
  6. Step 6: Final answer
    x = 207.09

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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.