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Finding the Fourth Proportional to 211.42, 291.54 and 137.60

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Solution

The fourth proportional to 211.42, 291.54 and 137.60 is: 189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.42 : 291.54 = 137.60 : x
  2. Step 2: Convert to fraction form
    211.42/291.54 = 137.60/x
  3. Step 3: Cross multiply
    211.42x = 291.54 × 137.60
  4. Step 4: Simplify right side
    211.42x = 40,115.90
  5. Step 5: Solve for x
    x = 40,115.90/211.42
  6. Step 6: Final answer
    x = 189.75

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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.