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Finding the Fourth Proportional to 213.40, 294.46 and 120.14

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Solution

The fourth proportional to 213.40, 294.46 and 120.14 is: 165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.40 : 294.46 = 120.14 : x
  2. Step 2: Convert to fraction form
    213.40/294.46 = 120.14/x
  3. Step 3: Cross multiply
    213.40x = 294.46 × 120.14
  4. Step 4: Simplify right side
    213.40x = 35,374.95
  5. Step 5: Solve for x
    x = 35,374.95/213.40
  6. Step 6: Final answer
    x = 165.77

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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.