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Finding the Fourth Proportional to 207.38, 286.18 and 120.05

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Solution

The fourth proportional to 207.38, 286.18 and 120.05 is: 165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.38 : 286.18 = 120.05 : x
  2. Step 2: Convert to fraction form
    207.38/286.18 = 120.05/x
  3. Step 3: Cross multiply
    207.38x = 286.18 × 120.05
  4. Step 4: Simplify right side
    207.38x = 34,356.32
  5. Step 5: Solve for x
    x = 34,356.32/207.38
  6. Step 6: Final answer
    x = 165.67

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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.