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Finding the Fourth Proportional to 369.33, 553.69 and 138.18

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Solution

The fourth proportional to 369.33, 553.69 and 138.18 is: 207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.33 : 553.69 = 138.18 : x
  2. Step 2: Convert to fraction form
    369.33/553.69 = 138.18/x
  3. Step 3: Cross multiply
    369.33x = 553.69 × 138.18
  4. Step 4: Simplify right side
    369.33x = 76,508.54
  5. Step 5: Solve for x
    x = 76,508.54/369.33
  6. Step 6: Final answer
    x = 207.16

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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.