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Finding the Fourth Proportional to 211.78, 292.80 and 162.82

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Solution

The fourth proportional to 211.78, 292.80 and 162.82 is: 225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.78 : 292.80 = 162.82 : x
  2. Step 2: Convert to fraction form
    211.78/292.80 = 162.82/x
  3. Step 3: Cross multiply
    211.78x = 292.80 × 162.82
  4. Step 4: Simplify right side
    211.78x = 47,673.70
  5. Step 5: Solve for x
    x = 47,673.70/211.78
  6. Step 6: Final answer
    x = 225.11

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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.