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Finding the Fourth Proportional to 414.39, 621.05 and 368.31

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Solution

The fourth proportional to 414.39, 621.05 and 368.31 is: 551.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.39 : 621.05 = 368.31 : x
  2. Step 2: Convert to fraction form
    414.39/621.05 = 368.31/x
  3. Step 3: Cross multiply
    414.39x = 621.05 × 368.31
  4. Step 4: Simplify right side
    414.39x = 228,737.08
  5. Step 5: Solve for x
    x = 228,737.08/414.39
  6. Step 6: Final answer
    x = 551.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.