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Finding the Fourth Proportional to 349.88, 523.56 and 276.11

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Solution

The fourth proportional to 349.88, 523.56 and 276.11 is: 413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.88 : 523.56 = 276.11 : x
  2. Step 2: Convert to fraction form
    349.88/523.56 = 276.11/x
  3. Step 3: Cross multiply
    349.88x = 523.56 × 276.11
  4. Step 4: Simplify right side
    349.88x = 144,557.53
  5. Step 5: Solve for x
    x = 144,557.53/349.88
  6. Step 6: Final answer
    x = 413.17

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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.