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Finding the Fourth Proportional to 211.80, 292.25 and 118.55

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Solution

The fourth proportional to 211.80, 292.25 and 118.55 is: 163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.80 : 292.25 = 118.55 : x
  2. Step 2: Convert to fraction form
    211.80/292.25 = 118.55/x
  3. Step 3: Cross multiply
    211.80x = 292.25 × 118.55
  4. Step 4: Simplify right side
    211.80x = 34,645.07
  5. Step 5: Solve for x
    x = 34,645.07/211.80
  6. Step 6: Final answer
    x = 163.58

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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.