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Finding the Fourth Proportional to 213.10, 294 and 157.88

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Solution

The fourth proportional to 213.10, 294 and 157.88 is: 217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.10 : 294 = 157.88 : x
  2. Step 2: Convert to fraction form
    213.10/294 = 157.88/x
  3. Step 3: Cross multiply
    213.10x = 294 × 157.88
  4. Step 4: Simplify right side
    213.10x = 46,416.72
  5. Step 5: Solve for x
    x = 46,416.72/213.10
  6. Step 6: Final answer
    x = 217.82

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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.