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Finding the Fourth Proportional to 213.31, 293.92 and 158.01

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Solution

The fourth proportional to 213.31, 293.92 and 158.01 is: 217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.31 : 293.92 = 158.01 : x
  2. Step 2: Convert to fraction form
    213.31/293.92 = 158.01/x
  3. Step 3: Cross multiply
    213.31x = 293.92 × 158.01
  4. Step 4: Simplify right side
    213.31x = 46,442.30
  5. Step 5: Solve for x
    x = 46,442.30/213.31
  6. Step 6: Final answer
    x = 217.72

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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.