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Finding the Fourth Proportional to 156.38, 214.97 and 137.75

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Solution

The fourth proportional to 156.38, 214.97 and 137.75 is: 189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.38 : 214.97 = 137.75 : x
  2. Step 2: Convert to fraction form
    156.38/214.97 = 137.75/x
  3. Step 3: Cross multiply
    156.38x = 214.97 × 137.75
  4. Step 4: Simplify right side
    156.38x = 29,610.35
  5. Step 5: Solve for x
    x = 29,610.35/156.38
  6. Step 6: Final answer
    x = 189.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.