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Finding the Fourth Proportional to 207.08, 284.10 and 186.09

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Solution

The fourth proportional to 207.08, 284.10 and 186.09 is: 255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.08 : 284.10 = 186.09 : x
  2. Step 2: Convert to fraction form
    207.08/284.10 = 186.09/x
  3. Step 3: Cross multiply
    207.08x = 284.10 × 186.09
  4. Step 4: Simplify right side
    207.08x = 52,868.17
  5. Step 5: Solve for x
    x = 52,868.17/207.08
  6. Step 6: Final answer
    x = 255.30

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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.