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Finding the Fourth Proportional to 369.78, 551.32 and 360.32

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Solution

The fourth proportional to 369.78, 551.32 and 360.32 is: 537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.78 : 551.32 = 360.32 : x
  2. Step 2: Convert to fraction form
    369.78/551.32 = 360.32/x
  3. Step 3: Cross multiply
    369.78x = 551.32 × 360.32
  4. Step 4: Simplify right side
    369.78x = 198,651.62
  5. Step 5: Solve for x
    x = 198,651.62/369.78
  6. Step 6: Final answer
    x = 537.22

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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.