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Finding the Fourth Proportional to 426.44, 639.10 and 207.06

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Solution

The fourth proportional to 426.44, 639.10 and 207.06 is: 310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.44 : 639.10 = 207.06 : x
  2. Step 2: Convert to fraction form
    426.44/639.10 = 207.06/x
  3. Step 3: Cross multiply
    426.44x = 639.10 × 207.06
  4. Step 4: Simplify right side
    426.44x = 132,332.05
  5. Step 5: Solve for x
    x = 132,332.05/426.44
  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.