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Finding the Fourth Proportional to 369.46, 551.38 and 338.47

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Solution

The fourth proportional to 369.46, 551.38 and 338.47 is: 505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.46 : 551.38 = 338.47 : x
  2. Step 2: Convert to fraction form
    369.46/551.38 = 338.47/x
  3. Step 3: Cross multiply
    369.46x = 551.38 × 338.47
  4. Step 4: Simplify right side
    369.46x = 186,625.59
  5. Step 5: Solve for x
    x = 186,625.59/369.46
  6. Step 6: Final answer
    x = 505.13

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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.