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Finding the Fourth Proportional to 438.12, 656.24 and 206.66

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Solution

The fourth proportional to 438.12, 656.24 and 206.66 is: 309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.12 : 656.24 = 206.66 : x
  2. Step 2: Convert to fraction form
    438.12/656.24 = 206.66/x
  3. Step 3: Cross multiply
    438.12x = 656.24 × 206.66
  4. Step 4: Simplify right side
    438.12x = 135,617.53
  5. Step 5: Solve for x
    x = 135,617.53/438.12
  6. Step 6: Final answer
    x = 309.54

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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.