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Finding the Fourth Proportional to 369.51, 551.42 and 323.34

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Solution

The fourth proportional to 369.51, 551.42 and 323.34 is: 482.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.51 : 551.42 = 323.34 : x
  2. Step 2: Convert to fraction form
    369.51/551.42 = 323.34/x
  3. Step 3: Cross multiply
    369.51x = 551.42 × 323.34
  4. Step 4: Simplify right side
    369.51x = 178,294.53
  5. Step 5: Solve for x
    x = 178,294.53/369.51
  6. Step 6: Final answer
    x = 482.52

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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.