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Finding the Fourth Proportional to 207.24, 309.41 and 186.76

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Solution

The fourth proportional to 207.24, 309.41 and 186.76 is: 278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.24 : 309.41 = 186.76 : x
  2. Step 2: Convert to fraction form
    207.24/309.41 = 186.76/x
  3. Step 3: Cross multiply
    207.24x = 309.41 × 186.76
  4. Step 4: Simplify right side
    207.24x = 57,785.41
  5. Step 5: Solve for x
    x = 57,785.41/207.24
  6. Step 6: Final answer
    x = 278.83

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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.