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Finding the Fourth Proportional to 438.06, 656.85 and 206.82

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Solution

The fourth proportional to 438.06, 656.85 and 206.82 is: 310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.06 : 656.85 = 206.82 : x
  2. Step 2: Convert to fraction form
    438.06/656.85 = 206.82/x
  3. Step 3: Cross multiply
    438.06x = 656.85 × 206.82
  4. Step 4: Simplify right side
    438.06x = 135,849.72
  5. Step 5: Solve for x
    x = 135,849.72/438.06
  6. Step 6: Final answer
    x = 310.12

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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.