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Finding the Fourth Proportional to 624.25, 936.78 and 239.50

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Solution

The fourth proportional to 624.25, 936.78 and 239.50 is: 359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.25 : 936.78 = 239.50 : x
  2. Step 2: Convert to fraction form
    624.25/936.78 = 239.50/x
  3. Step 3: Cross multiply
    624.25x = 936.78 × 239.50
  4. Step 4: Simplify right side
    624.25x = 224,358.81
  5. Step 5: Solve for x
    x = 224,358.81/624.25
  6. Step 6: Final answer
    x = 359.41

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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.