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Finding the Fourth Proportional to 370.50, 553.37 and 349.44

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Solution

The fourth proportional to 370.50, 553.37 and 349.44 is: 521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.50 : 553.37 = 349.44 : x
  2. Step 2: Convert to fraction form
    370.50/553.37 = 349.44/x
  3. Step 3: Cross multiply
    370.50x = 553.37 × 349.44
  4. Step 4: Simplify right side
    370.50x = 193,369.61
  5. Step 5: Solve for x
    x = 193,369.61/370.50
  6. Step 6: Final answer
    x = 521.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.