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Finding the Fourth Proportional to 207.40, 308.09 and 203.80

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Solution

The fourth proportional to 207.40, 308.09 and 203.80 is: 302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.40 : 308.09 = 203.80 : x
  2. Step 2: Convert to fraction form
    207.40/308.09 = 203.80/x
  3. Step 3: Cross multiply
    207.40x = 308.09 × 203.80
  4. Step 4: Simplify right side
    207.40x = 62,788.74
  5. Step 5: Solve for x
    x = 62,788.74/207.40
  6. Step 6: Final answer
    x = 302.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.