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Finding the Fourth Proportional to 368.14, 551.91 and 136.88

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Solution

The fourth proportional to 368.14, 551.91 and 136.88 is: 205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.14 : 551.91 = 136.88 : x
  2. Step 2: Convert to fraction form
    368.14/551.91 = 136.88/x
  3. Step 3: Cross multiply
    368.14x = 551.91 × 136.88
  4. Step 4: Simplify right side
    368.14x = 75,545.44
  5. Step 5: Solve for x
    x = 75,545.44/368.14
  6. Step 6: Final answer
    x = 205.21

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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.