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Finding the Fourth Proportional to 414, 621.04 and 125.36

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Solution

The fourth proportional to 414, 621.04 and 125.36 is: 188.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414 : 621.04 = 125.36 : x
  2. Step 2: Convert to fraction form
    414/621.04 = 125.36/x
  3. Step 3: Cross multiply
    414x = 621.04 × 125.36
  4. Step 4: Simplify right side
    414x = 77,853.57
  5. Step 5: Solve for x
    x = 77,853.57/414
  6. Step 6: Final answer
    x = 188.05

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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.