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Finding the Fourth Proportional to 397.74, 551.52 and 385.32

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Solution

The fourth proportional to 397.74, 551.52 and 385.32 is: 534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.74 : 551.52 = 385.32 : x
  2. Step 2: Convert to fraction form
    397.74/551.52 = 385.32/x
  3. Step 3: Cross multiply
    397.74x = 551.52 × 385.32
  4. Step 4: Simplify right side
    397.74x = 212,511.69
  5. Step 5: Solve for x
    x = 212,511.69/397.74
  6. Step 6: Final answer
    x = 534.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.