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Finding the Fourth Proportional to 414.36, 620.90 and 368.18

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Solution

The fourth proportional to 414.36, 620.90 and 368.18 is: 551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.36 : 620.90 = 368.18 : x
  2. Step 2: Convert to fraction form
    414.36/620.90 = 368.18/x
  3. Step 3: Cross multiply
    414.36x = 620.90 × 368.18
  4. Step 4: Simplify right side
    414.36x = 228,602.96
  5. Step 5: Solve for x
    x = 228,602.96/414.36
  6. Step 6: Final answer
    x = 551.70

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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.