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Finding the Fourth Proportional to 414.14, 618.24 and 384.14

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Solution

The fourth proportional to 414.14, 618.24 and 384.14 is: 573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.14 : 618.24 = 384.14 : x
  2. Step 2: Convert to fraction form
    414.14/618.24 = 384.14/x
  3. Step 3: Cross multiply
    414.14x = 618.24 × 384.14
  4. Step 4: Simplify right side
    414.14x = 237,490.71
  5. Step 5: Solve for x
    x = 237,490.71/414.14
  6. Step 6: Final answer
    x = 573.46

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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.