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Finding the Fourth Proportional to 620.18, 930.32 and 209.16

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Solution

The fourth proportional to 620.18, 930.32 and 209.16 is: 313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.18 : 930.32 = 209.16 : x
  2. Step 2: Convert to fraction form
    620.18/930.32 = 209.16/x
  3. Step 3: Cross multiply
    620.18x = 930.32 × 209.16
  4. Step 4: Simplify right side
    620.18x = 194,585.73
  5. Step 5: Solve for x
    x = 194,585.73/620.18
  6. Step 6: Final answer
    x = 313.76

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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.