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Finding the Fourth Proportional to 369.32, 551.46 and 300.06

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Solution

The fourth proportional to 369.32, 551.46 and 300.06 is: 448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.32 : 551.46 = 300.06 : x
  2. Step 2: Convert to fraction form
    369.32/551.46 = 300.06/x
  3. Step 3: Cross multiply
    369.32x = 551.46 × 300.06
  4. Step 4: Simplify right side
    369.32x = 165,471.09
  5. Step 5: Solve for x
    x = 165,471.09/369.32
  6. Step 6: Final answer
    x = 448.04

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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.