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Finding the Fourth Proportional to 368.88, 553.28 and 137.72

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Solution

The fourth proportional to 368.88, 553.28 and 137.72 is: 206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.88 : 553.28 = 137.72 : x
  2. Step 2: Convert to fraction form
    368.88/553.28 = 137.72/x
  3. Step 3: Cross multiply
    368.88x = 553.28 × 137.72
  4. Step 4: Simplify right side
    368.88x = 76,197.72
  5. Step 5: Solve for x
    x = 76,197.72/368.88
  6. Step 6: Final answer
    x = 206.57

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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.