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Finding the Fourth Proportional to 211.29, 291.06 and 149.01

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Solution

The fourth proportional to 211.29, 291.06 and 149.01 is: 205.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.29 : 291.06 = 149.01 : x
  2. Step 2: Convert to fraction form
    211.29/291.06 = 149.01/x
  3. Step 3: Cross multiply
    211.29x = 291.06 × 149.01
  4. Step 4: Simplify right side
    211.29x = 43,370.85
  5. Step 5: Solve for x
    x = 43,370.85/211.29
  6. Step 6: Final answer
    x = 205.27

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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.