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Finding the Fourth Proportional to 212.03, 292.85 and 159.80

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Solution

The fourth proportional to 212.03, 292.85 and 159.80 is: 220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.03 : 292.85 = 159.80 : x
  2. Step 2: Convert to fraction form
    212.03/292.85 = 159.80/x
  3. Step 3: Cross multiply
    212.03x = 292.85 × 159.80
  4. Step 4: Simplify right side
    212.03x = 46,796.63
  5. Step 5: Solve for x
    x = 46,796.63/212.03
  6. Step 6: Final answer
    x = 220.71

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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.