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Finding the Fourth Proportional to 227.86, 314.62 and 227.40

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Solution

The fourth proportional to 227.86, 314.62 and 227.40 is: 313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.86 : 314.62 = 227.40 : x
  2. Step 2: Convert to fraction form
    227.86/314.62 = 227.40/x
  3. Step 3: Cross multiply
    227.86x = 314.62 × 227.40
  4. Step 4: Simplify right side
    227.86x = 71,543.45
  5. Step 5: Solve for x
    x = 71,543.45/227.86
  6. Step 6: Final answer
    x = 313.99

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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.