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Finding the Fourth Proportional to 213.20, 294.40 and 146.91

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Solution

The fourth proportional to 213.20, 294.40 and 146.91 is: 202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.20 : 294.40 = 146.91 : x
  2. Step 2: Convert to fraction form
    213.20/294.40 = 146.91/x
  3. Step 3: Cross multiply
    213.20x = 294.40 × 146.91
  4. Step 4: Simplify right side
    213.20x = 43,249.57
  5. Step 5: Solve for x
    x = 43,249.57/213.20
  6. Step 6: Final answer
    x = 202.86

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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.