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Finding the Fourth Proportional to 213.57, 294.01 and 191.70

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Solution

The fourth proportional to 213.57, 294.01 and 191.70 is: 263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.57 : 294.01 = 191.70 : x
  2. Step 2: Convert to fraction form
    213.57/294.01 = 191.70/x
  3. Step 3: Cross multiply
    213.57x = 294.01 × 191.70
  4. Step 4: Simplify right side
    213.57x = 56,361.72
  5. Step 5: Solve for x
    x = 56,361.72/213.57
  6. Step 6: Final answer
    x = 263.90

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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.