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Finding the Fourth Proportional to 414.07, 621.11 and 117.57

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Solution

The fourth proportional to 414.07, 621.11 and 117.57 is: 176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.07 : 621.11 = 117.57 : x
  2. Step 2: Convert to fraction form
    414.07/621.11 = 117.57/x
  3. Step 3: Cross multiply
    414.07x = 621.11 × 117.57
  4. Step 4: Simplify right side
    414.07x = 73,023.90
  5. Step 5: Solve for x
    x = 73,023.90/414.07
  6. Step 6: Final answer
    x = 176.36

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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.