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Finding the Fourth Proportional to 207.67, 286.69 and 160.93

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Solution

The fourth proportional to 207.67, 286.69 and 160.93 is: 222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.67 : 286.69 = 160.93 : x
  2. Step 2: Convert to fraction form
    207.67/286.69 = 160.93/x
  3. Step 3: Cross multiply
    207.67x = 286.69 × 160.93
  4. Step 4: Simplify right side
    207.67x = 46,137.02
  5. Step 5: Solve for x
    x = 46,137.02/207.67
  6. Step 6: Final answer
    x = 222.17

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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.