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Finding the Fourth Proportional to 414.24, 619.06 and 371.41

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Solution

The fourth proportional to 414.24, 619.06 and 371.41 is: 555.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.24 : 619.06 = 371.41 : x
  2. Step 2: Convert to fraction form
    414.24/619.06 = 371.41/x
  3. Step 3: Cross multiply
    414.24x = 619.06 × 371.41
  4. Step 4: Simplify right side
    414.24x = 229,925.07
  5. Step 5: Solve for x
    x = 229,925.07/414.24
  6. Step 6: Final answer
    x = 555.05

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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.