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Finding the Fourth Proportional to 211.30, 291.47 and 137.59

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Solution

The fourth proportional to 211.30, 291.47 and 137.59 is: 189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.30 : 291.47 = 137.59 : x
  2. Step 2: Convert to fraction form
    211.30/291.47 = 137.59/x
  3. Step 3: Cross multiply
    211.30x = 291.47 × 137.59
  4. Step 4: Simplify right side
    211.30x = 40,101.94
  5. Step 5: Solve for x
    x = 40,101.94/211.30
  6. Step 6: Final answer
    x = 189.79

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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.