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Finding the Fourth Proportional to 368.69, 553.28 and 137.76

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Solution

The fourth proportional to 368.69, 553.28 and 137.76 is: 206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.69 : 553.28 = 137.76 : x
  2. Step 2: Convert to fraction form
    368.69/553.28 = 137.76/x
  3. Step 3: Cross multiply
    368.69x = 553.28 × 137.76
  4. Step 4: Simplify right side
    368.69x = 76,217.09
  5. Step 5: Solve for x
    x = 76,217.09/368.69
  6. Step 6: Final answer
    x = 206.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.