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Finding the Fourth Proportional to 213.14, 294.42 and 158.16

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Solution

The fourth proportional to 213.14, 294.42 and 158.16 is: 218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.14 : 294.42 = 158.16 : x
  2. Step 2: Convert to fraction form
    213.14/294.42 = 158.16/x
  3. Step 3: Cross multiply
    213.14x = 294.42 × 158.16
  4. Step 4: Simplify right side
    213.14x = 46,567.16
  5. Step 5: Solve for x
    x = 46,567.16/213.14
  6. Step 6: Final answer
    x = 218.48

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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.