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Finding the Fourth Proportional to 212.91, 293.66 and 142.95

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Solution

The fourth proportional to 212.91, 293.66 and 142.95 is: 197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.91 : 293.66 = 142.95 : x
  2. Step 2: Convert to fraction form
    212.91/293.66 = 142.95/x
  3. Step 3: Cross multiply
    212.91x = 293.66 × 142.95
  4. Step 4: Simplify right side
    212.91x = 41,978.70
  5. Step 5: Solve for x
    x = 41,978.70/212.91
  6. Step 6: Final answer
    x = 197.17

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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.