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Finding the Fourth Proportional to 213.45, 294.62 and 191.58

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Solution

The fourth proportional to 213.45, 294.62 and 191.58 is: 264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.45 : 294.62 = 191.58 : x
  2. Step 2: Convert to fraction form
    213.45/294.62 = 191.58/x
  3. Step 3: Cross multiply
    213.45x = 294.62 × 191.58
  4. Step 4: Simplify right side
    213.45x = 56,442.34
  5. Step 5: Solve for x
    x = 56,442.34/213.45
  6. Step 6: Final answer
    x = 264.43

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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.