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Finding the Fourth Proportional to 207.29, 312.17 and 189.20

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Solution

The fourth proportional to 207.29, 312.17 and 189.20 is: 284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.29 : 312.17 = 189.20 : x
  2. Step 2: Convert to fraction form
    207.29/312.17 = 189.20/x
  3. Step 3: Cross multiply
    207.29x = 312.17 × 189.20
  4. Step 4: Simplify right side
    207.29x = 59,062.56
  5. Step 5: Solve for x
    x = 59,062.56/207.29
  6. Step 6: Final answer
    x = 284.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.