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Finding the Fourth Proportional to 380.12, 570.20 and 120.11

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Solution

The fourth proportional to 380.12, 570.20 and 120.11 is: 180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.12 : 570.20 = 120.11 : x
  2. Step 2: Convert to fraction form
    380.12/570.20 = 120.11/x
  3. Step 3: Cross multiply
    380.12x = 570.20 × 120.11
  4. Step 4: Simplify right side
    380.12x = 68,483.27
  5. Step 5: Solve for x
    x = 68,483.27/380.12
  6. Step 6: Final answer
    x = 180.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.