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Finding the Fourth Proportional to 403.58, 604.40 and 207.97

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Solution

The fourth proportional to 403.58, 604.40 and 207.97 is: 311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.58 : 604.40 = 207.97 : x
  2. Step 2: Convert to fraction form
    403.58/604.40 = 207.97/x
  3. Step 3: Cross multiply
    403.58x = 604.40 × 207.97
  4. Step 4: Simplify right side
    403.58x = 125,694.52
  5. Step 5: Solve for x
    x = 125,694.52/403.58
  6. Step 6: Final answer
    x = 311.45

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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.