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Finding the Fourth Proportional to 207.45, 286.41 and 160.10

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Solution

The fourth proportional to 207.45, 286.41 and 160.10 is: 221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.45 : 286.41 = 160.10 : x
  2. Step 2: Convert to fraction form
    207.45/286.41 = 160.10/x
  3. Step 3: Cross multiply
    207.45x = 286.41 × 160.10
  4. Step 4: Simplify right side
    207.45x = 45,854.24
  5. Step 5: Solve for x
    x = 45,854.24/207.45
  6. Step 6: Final answer
    x = 221.04

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