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Finding the Fourth Proportional to 437.97, 656.81 and 149.34

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Solution

The fourth proportional to 437.97, 656.81 and 149.34 is: 223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.97 : 656.81 = 149.34 : x
  2. Step 2: Convert to fraction form
    437.97/656.81 = 149.34/x
  3. Step 3: Cross multiply
    437.97x = 656.81 × 149.34
  4. Step 4: Simplify right side
    437.97x = 98,090.28
  5. Step 5: Solve for x
    x = 98,090.28/437.97
  6. Step 6: Final answer
    x = 223.96

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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.