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Finding the Fourth Proportional to 227.79, 313.98 and 208.95

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Solution

The fourth proportional to 227.79, 313.98 and 208.95 is: 288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.79 : 313.98 = 208.95 : x
  2. Step 2: Convert to fraction form
    227.79/313.98 = 208.95/x
  3. Step 3: Cross multiply
    227.79x = 313.98 × 208.95
  4. Step 4: Simplify right side
    227.79x = 65,606.12
  5. Step 5: Solve for x
    x = 65,606.12/227.79
  6. Step 6: Final answer
    x = 288.01

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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.