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Finding the Fourth Proportional to 630.05, 945.28 and 197.21

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Solution

The fourth proportional to 630.05, 945.28 and 197.21 is: 295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.05 : 945.28 = 197.21 : x
  2. Step 2: Convert to fraction form
    630.05/945.28 = 197.21/x
  3. Step 3: Cross multiply
    630.05x = 945.28 × 197.21
  4. Step 4: Simplify right side
    630.05x = 186,418.67
  5. Step 5: Solve for x
    x = 186,418.67/630.05
  6. Step 6: Final answer
    x = 295.88

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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.