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Finding the Fourth Proportional to 624.20, 936.39 and 259.16

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Solution

The fourth proportional to 624.20, 936.39 and 259.16 is: 388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.20 : 936.39 = 259.16 : x
  2. Step 2: Convert to fraction form
    624.20/936.39 = 259.16/x
  3. Step 3: Cross multiply
    624.20x = 936.39 × 259.16
  4. Step 4: Simplify right side
    624.20x = 242,674.83
  5. Step 5: Solve for x
    x = 242,674.83/624.20
  6. Step 6: Final answer
    x = 388.78

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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.