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Finding the Fourth Proportional to 620.16, 930.16 and 209.28

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Solution

The fourth proportional to 620.16, 930.16 and 209.28 is: 313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.16 : 930.16 = 209.28 : x
  2. Step 2: Convert to fraction form
    620.16/930.16 = 209.28/x
  3. Step 3: Cross multiply
    620.16x = 930.16 × 209.28
  4. Step 4: Simplify right side
    620.16x = 194,663.88
  5. Step 5: Solve for x
    x = 194,663.88/620.16
  6. Step 6: Final answer
    x = 313.89

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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.