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Finding the Fourth Proportional to 213.72, 294.88 and 120.46

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Solution

The fourth proportional to 213.72, 294.88 and 120.46 is: 166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.72 : 294.88 = 120.46 : x
  2. Step 2: Convert to fraction form
    213.72/294.88 = 120.46/x
  3. Step 3: Cross multiply
    213.72x = 294.88 × 120.46
  4. Step 4: Simplify right side
    213.72x = 35,521.24
  5. Step 5: Solve for x
    x = 35,521.24/213.72
  6. Step 6: Final answer
    x = 166.20

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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.