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Finding the Fourth Proportional to 414.64, 618.89 and 362.80

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Solution

The fourth proportional to 414.64, 618.89 and 362.80 is: 541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.64 : 618.89 = 362.80 : x
  2. Step 2: Convert to fraction form
    414.64/618.89 = 362.80/x
  3. Step 3: Cross multiply
    414.64x = 618.89 × 362.80
  4. Step 4: Simplify right side
    414.64x = 224,533.29
  5. Step 5: Solve for x
    x = 224,533.29/414.64
  6. Step 6: Final answer
    x = 541.51

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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.