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Finding the Fourth Proportional to 369.40, 553.96 and 138.24

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Solution

The fourth proportional to 369.40, 553.96 and 138.24 is: 207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.40 : 553.96 = 138.24 : x
  2. Step 2: Convert to fraction form
    369.40/553.96 = 138.24/x
  3. Step 3: Cross multiply
    369.40x = 553.96 × 138.24
  4. Step 4: Simplify right side
    369.40x = 76,579.43
  5. Step 5: Solve for x
    x = 76,579.43/369.40
  6. Step 6: Final answer
    x = 207.31

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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.