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Finding the Fourth Proportional to 207.27, 284.40 and 188.78

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Solution

The fourth proportional to 207.27, 284.40 and 188.78 is: 259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.27 : 284.40 = 188.78 : x
  2. Step 2: Convert to fraction form
    207.27/284.40 = 188.78/x
  3. Step 3: Cross multiply
    207.27x = 284.40 × 188.78
  4. Step 4: Simplify right side
    207.27x = 53,687.61
  5. Step 5: Solve for x
    x = 53,687.61/207.27
  6. Step 6: Final answer
    x = 259.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.