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Finding the Fourth Proportional to 211.36, 291.50 and 137.65

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Solution

The fourth proportional to 211.36, 291.50 and 137.65 is: 189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.36 : 291.50 = 137.65 : x
  2. Step 2: Convert to fraction form
    211.36/291.50 = 137.65/x
  3. Step 3: Cross multiply
    211.36x = 291.50 × 137.65
  4. Step 4: Simplify right side
    211.36x = 40,124.29
  5. Step 5: Solve for x
    x = 40,124.29/211.36
  6. Step 6: Final answer
    x = 189.84

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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.