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Finding the Fourth Proportional to 213.51, 294.66 and 120.25

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Solution

The fourth proportional to 213.51, 294.66 and 120.25 is: 165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.51 : 294.66 = 120.25 : x
  2. Step 2: Convert to fraction form
    213.51/294.66 = 120.25/x
  3. Step 3: Cross multiply
    213.51x = 294.66 × 120.25
  4. Step 4: Simplify right side
    213.51x = 35,432.87
  5. Step 5: Solve for x
    x = 35,432.87/213.51
  6. Step 6: Final answer
    x = 165.95

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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.