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Finding the Fourth Proportional to 208.49, 313.82 and 177.17

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Solution

The fourth proportional to 208.49, 313.82 and 177.17 is: 266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.49 : 313.82 = 177.17 : x
  2. Step 2: Convert to fraction form
    208.49/313.82 = 177.17/x
  3. Step 3: Cross multiply
    208.49x = 313.82 × 177.17
  4. Step 4: Simplify right side
    208.49x = 55,597.70
  5. Step 5: Solve for x
    x = 55,597.70/208.49
  6. Step 6: Final answer
    x = 266.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.