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Finding the Fourth Proportional to 211.95, 292.41 and 123.42

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Solution

The fourth proportional to 211.95, 292.41 and 123.42 is: 170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.95 : 292.41 = 123.42 : x
  2. Step 2: Convert to fraction form
    211.95/292.41 = 123.42/x
  3. Step 3: Cross multiply
    211.95x = 292.41 × 123.42
  4. Step 4: Simplify right side
    211.95x = 36,090.34
  5. Step 5: Solve for x
    x = 36,090.34/211.95
  6. Step 6: Final answer
    x = 170.28

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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.