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Finding the Fourth Proportional to 368.88, 550.16 and 349.44

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Solution

The fourth proportional to 368.88, 550.16 and 349.44 is: 521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.88 : 550.16 = 349.44 : x
  2. Step 2: Convert to fraction form
    368.88/550.16 = 349.44/x
  3. Step 3: Cross multiply
    368.88x = 550.16 × 349.44
  4. Step 4: Simplify right side
    368.88x = 192,246.16
  5. Step 5: Solve for x
    x = 192,246.16/368.88
  6. Step 6: Final answer
    x = 521.16

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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.