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Finding the Fourth Proportional to 211.40, 291.56 and 149.12

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Solution

The fourth proportional to 211.40, 291.56 and 149.12 is: 205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.40 : 291.56 = 149.12 : x
  2. Step 2: Convert to fraction form
    211.40/291.56 = 149.12/x
  3. Step 3: Cross multiply
    211.40x = 291.56 × 149.12
  4. Step 4: Simplify right side
    211.40x = 43,477.43
  5. Step 5: Solve for x
    x = 43,477.43/211.40
  6. Step 6: Final answer
    x = 205.66

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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.