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Finding the Fourth Proportional to 416.84, 625.19 and 139.21

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Solution

The fourth proportional to 416.84, 625.19 and 139.21 is: 208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.84 : 625.19 = 139.21 : x
  2. Step 2: Convert to fraction form
    416.84/625.19 = 139.21/x
  3. Step 3: Cross multiply
    416.84x = 625.19 × 139.21
  4. Step 4: Simplify right side
    416.84x = 87,030.44
  5. Step 5: Solve for x
    x = 87,030.44/416.84
  6. Step 6: Final answer
    x = 208.79

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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.