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Finding the Fourth Proportional to 438.20, 656.96 and 206.95

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Solution

The fourth proportional to 438.20, 656.96 and 206.95 is: 310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.20 : 656.96 = 206.95 : x
  2. Step 2: Convert to fraction form
    438.20/656.96 = 206.95/x
  3. Step 3: Cross multiply
    438.20x = 656.96 × 206.95
  4. Step 4: Simplify right side
    438.20x = 135,959.51
  5. Step 5: Solve for x
    x = 135,959.51/438.20
  6. Step 6: Final answer
    x = 310.27

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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.