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Finding the Fourth Proportional to 212.12, 292.85 and 156.33

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Solution

The fourth proportional to 212.12, 292.85 and 156.33 is: 215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.12 : 292.85 = 156.33 : x
  2. Step 2: Convert to fraction form
    212.12/292.85 = 156.33/x
  3. Step 3: Cross multiply
    212.12x = 292.85 × 156.33
  4. Step 4: Simplify right side
    212.12x = 45,781.05
  5. Step 5: Solve for x
    x = 45,781.05/212.12
  6. Step 6: Final answer
    x = 215.83

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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.