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Finding the Fourth Proportional to 310.43, 427.32 and 268.40

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Solution

The fourth proportional to 310.43, 427.32 and 268.40 is: 369.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.43 : 427.32 = 268.40 : x
  2. Step 2: Convert to fraction form
    310.43/427.32 = 268.40/x
  3. Step 3: Cross multiply
    310.43x = 427.32 × 268.40
  4. Step 4: Simplify right side
    310.43x = 114,691.62
  5. Step 5: Solve for x
    x = 114,691.62/310.43
  6. Step 6: Final answer
    x = 369.46

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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.