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Finding the Fourth Proportional to 240.27, 331.34 and 156.14

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Solution

The fourth proportional to 240.27, 331.34 and 156.14 is: 215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.27 : 331.34 = 156.14 : x
  2. Step 2: Convert to fraction form
    240.27/331.34 = 156.14/x
  3. Step 3: Cross multiply
    240.27x = 331.34 × 156.14
  4. Step 4: Simplify right side
    240.27x = 51,733.77
  5. Step 5: Solve for x
    x = 51,733.77/240.27
  6. Step 6: Final answer
    x = 215.32

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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.