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Finding the Fourth Proportional to 240.24, 331.45 and 135.31

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Solution

The fourth proportional to 240.24, 331.45 and 135.31 is: 186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.24 : 331.45 = 135.31 : x
  2. Step 2: Convert to fraction form
    240.24/331.45 = 135.31/x
  3. Step 3: Cross multiply
    240.24x = 331.45 × 135.31
  4. Step 4: Simplify right side
    240.24x = 44,847.67
  5. Step 5: Solve for x
    x = 44,847.67/240.24
  6. Step 6: Final answer
    x = 186.68

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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.