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Finding the Fourth Proportional to 368.90, 553.22 and 137.74

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Solution

The fourth proportional to 368.90, 553.22 and 137.74 is: 206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.90 : 553.22 = 137.74 : x
  2. Step 2: Convert to fraction form
    368.90/553.22 = 137.74/x
  3. Step 3: Cross multiply
    368.90x = 553.22 × 137.74
  4. Step 4: Simplify right side
    368.90x = 76,197.07
  5. Step 5: Solve for x
    x = 76,197.07/368.90
  6. Step 6: Final answer
    x = 206.55

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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.