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Finding the Fourth Proportional to 630.42, 945.86 and 219.54

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Solution

The fourth proportional to 630.42, 945.86 and 219.54 is: 329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.42 : 945.86 = 219.54 : x
  2. Step 2: Convert to fraction form
    630.42/945.86 = 219.54/x
  3. Step 3: Cross multiply
    630.42x = 945.86 × 219.54
  4. Step 4: Simplify right side
    630.42x = 207,653.01
  5. Step 5: Solve for x
    x = 207,653.01/630.42
  6. Step 6: Final answer
    x = 329.39

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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.