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Finding the Fourth Proportional to 211.42, 291.45 and 167.77

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Solution

The fourth proportional to 211.42, 291.45 and 167.77 is: 231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.42 : 291.45 = 167.77 : x
  2. Step 2: Convert to fraction form
    211.42/291.45 = 167.77/x
  3. Step 3: Cross multiply
    211.42x = 291.45 × 167.77
  4. Step 4: Simplify right side
    211.42x = 48,896.57
  5. Step 5: Solve for x
    x = 48,896.57/211.42
  6. Step 6: Final answer
    x = 231.28

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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.