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Finding the Fourth Proportional to 380.19, 570.37 and 120.21

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Solution

The fourth proportional to 380.19, 570.37 and 120.21 is: 180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.19 : 570.37 = 120.21 : x
  2. Step 2: Convert to fraction form
    380.19/570.37 = 120.21/x
  3. Step 3: Cross multiply
    380.19x = 570.37 × 120.21
  4. Step 4: Simplify right side
    380.19x = 68,564.18
  5. Step 5: Solve for x
    x = 68,564.18/380.19
  6. Step 6: Final answer
    x = 180.34

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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.