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Finding the Fourth Proportional to 414.04, 617.45 and 362.20

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Solution

The fourth proportional to 414.04, 617.45 and 362.20 is: 540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.04 : 617.45 = 362.20 : x
  2. Step 2: Convert to fraction form
    414.04/617.45 = 362.20/x
  3. Step 3: Cross multiply
    414.04x = 617.45 × 362.20
  4. Step 4: Simplify right side
    414.04x = 223,640.39
  5. Step 5: Solve for x
    x = 223,640.39/414.04
  6. Step 6: Final answer
    x = 540.14

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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.