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Finding the Fourth Proportional to 368.66, 553.26 and 137.69

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Solution

The fourth proportional to 368.66, 553.26 and 137.69 is: 206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.66 : 553.26 = 137.69 : x
  2. Step 2: Convert to fraction form
    368.66/553.26 = 137.69/x
  3. Step 3: Cross multiply
    368.66x = 553.26 × 137.69
  4. Step 4: Simplify right side
    368.66x = 76,175.60
  5. Step 5: Solve for x
    x = 76,175.60/368.66
  6. Step 6: Final answer
    x = 206.63

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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.