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Finding the Fourth Proportional to 309.34, 426.63 and 240.22

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Solution

The fourth proportional to 309.34, 426.63 and 240.22 is: 331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.34 : 426.63 = 240.22 : x
  2. Step 2: Convert to fraction form
    309.34/426.63 = 240.22/x
  3. Step 3: Cross multiply
    309.34x = 426.63 × 240.22
  4. Step 4: Simplify right side
    309.34x = 102,485.06
  5. Step 5: Solve for x
    x = 102,485.06/309.34
  6. Step 6: Final answer
    x = 331.30

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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.