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Finding the Fourth Proportional to 211.29, 291.71 and 137.74

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Solution

The fourth proportional to 211.29, 291.71 and 137.74 is: 190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.29 : 291.71 = 137.74 : x
  2. Step 2: Convert to fraction form
    211.29/291.71 = 137.74/x
  3. Step 3: Cross multiply
    211.29x = 291.71 × 137.74
  4. Step 4: Simplify right side
    211.29x = 40,180.14
  5. Step 5: Solve for x
    x = 40,180.14/211.29
  6. Step 6: Final answer
    x = 190.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.