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Finding the Fourth Proportional to 211.94, 292.25 and 159.56

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Solution

The fourth proportional to 211.94, 292.25 and 159.56 is: 220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.94 : 292.25 = 159.56 : x
  2. Step 2: Convert to fraction form
    211.94/292.25 = 159.56/x
  3. Step 3: Cross multiply
    211.94x = 292.25 × 159.56
  4. Step 4: Simplify right side
    211.94x = 46,630.61
  5. Step 5: Solve for x
    x = 46,630.61/211.94
  6. Step 6: Final answer
    x = 220.02

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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.