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Finding the Fourth Proportional to 624.28, 936.57 and 185.52

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Solution

The fourth proportional to 624.28, 936.57 and 185.52 is: 278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.28 : 936.57 = 185.52 : x
  2. Step 2: Convert to fraction form
    624.28/936.57 = 185.52/x
  3. Step 3: Cross multiply
    624.28x = 936.57 × 185.52
  4. Step 4: Simplify right side
    624.28x = 173,752.47
  5. Step 5: Solve for x
    x = 173,752.47/624.28
  6. Step 6: Final answer
    x = 278.32

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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.