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Finding the Fourth Proportional to 207.83, 285.27 and 189.29

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Solution

The fourth proportional to 207.83, 285.27 and 189.29 is: 259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.83 : 285.27 = 189.29 : x
  2. Step 2: Convert to fraction form
    207.83/285.27 = 189.29/x
  3. Step 3: Cross multiply
    207.83x = 285.27 × 189.29
  4. Step 4: Simplify right side
    207.83x = 53,997.33
  5. Step 5: Solve for x
    x = 53,997.33/207.83
  6. Step 6: Final answer
    x = 259.82

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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.