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Finding the Fourth Proportional to 207.28, 309.20 and 188.64

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Solution

The fourth proportional to 207.28, 309.20 and 188.64 is: 281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.28 : 309.20 = 188.64 : x
  2. Step 2: Convert to fraction form
    207.28/309.20 = 188.64/x
  3. Step 3: Cross multiply
    207.28x = 309.20 × 188.64
  4. Step 4: Simplify right side
    207.28x = 58,327.49
  5. Step 5: Solve for x
    x = 58,327.49/207.28
  6. Step 6: Final answer
    x = 281.39

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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.