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Finding the Fourth Proportional to 620.50, 930.86 and 209.68

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Solution

The fourth proportional to 620.50, 930.86 and 209.68 is: 314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.50 : 930.86 = 209.68 : x
  2. Step 2: Convert to fraction form
    620.50/930.86 = 209.68/x
  3. Step 3: Cross multiply
    620.50x = 930.86 × 209.68
  4. Step 4: Simplify right side
    620.50x = 195,182.72
  5. Step 5: Solve for x
    x = 195,182.72/620.50
  6. Step 6: Final answer
    x = 314.56

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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.