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Finding the Fourth Proportional to 438.10, 656.96 and 206.94

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Solution

The fourth proportional to 438.10, 656.96 and 206.94 is: 310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.10 : 656.96 = 206.94 : x
  2. Step 2: Convert to fraction form
    438.10/656.96 = 206.94/x
  3. Step 3: Cross multiply
    438.10x = 656.96 × 206.94
  4. Step 4: Simplify right side
    438.10x = 135,951.30
  5. Step 5: Solve for x
    x = 135,951.30/438.10
  6. Step 6: Final answer
    x = 310.32

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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.