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Finding the Fourth Proportional to 437.68, 656.53 and 206.73

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Solution

The fourth proportional to 437.68, 656.53 and 206.73 is: 310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.68 : 656.53 = 206.73 : x
  2. Step 2: Convert to fraction form
    437.68/656.53 = 206.73/x
  3. Step 3: Cross multiply
    437.68x = 656.53 × 206.73
  4. Step 4: Simplify right side
    437.68x = 135,724.45
  5. Step 5: Solve for x
    x = 135,724.45/437.68
  6. Step 6: Final answer
    x = 310.10

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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.