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Finding the Fourth Proportional to 207.23, 286.34 and 160.56

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Solution

The fourth proportional to 207.23, 286.34 and 160.56 is: 221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.23 : 286.34 = 160.56 : x
  2. Step 2: Convert to fraction form
    207.23/286.34 = 160.56/x
  3. Step 3: Cross multiply
    207.23x = 286.34 × 160.56
  4. Step 4: Simplify right side
    207.23x = 45,973.95
  5. Step 5: Solve for x
    x = 45,973.95/207.23
  6. Step 6: Final answer
    x = 221.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.