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Finding the Fourth Proportional to 227.70, 314.16 and 140.40

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Solution

The fourth proportional to 227.70, 314.16 and 140.40 is: 193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.70 : 314.16 = 140.40 : x
  2. Step 2: Convert to fraction form
    227.70/314.16 = 140.40/x
  3. Step 3: Cross multiply
    227.70x = 314.16 × 140.40
  4. Step 4: Simplify right side
    227.70x = 44,108.06
  5. Step 5: Solve for x
    x = 44,108.06/227.70
  6. Step 6: Final answer
    x = 193.71

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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.