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Finding the Fourth Proportional to 207.30, 309.17 and 187.86

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Solution

The fourth proportional to 207.30, 309.17 and 187.86 is: 280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.30 : 309.17 = 187.86 : x
  2. Step 2: Convert to fraction form
    207.30/309.17 = 187.86/x
  3. Step 3: Cross multiply
    207.30x = 309.17 × 187.86
  4. Step 4: Simplify right side
    207.30x = 58,080.68
  5. Step 5: Solve for x
    x = 58,080.68/207.30
  6. Step 6: Final answer
    x = 280.18

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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.