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Finding the Fourth Proportional to 630.40, 945.26 and 219.42

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Solution

The fourth proportional to 630.40, 945.26 and 219.42 is: 329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.40 : 945.26 = 219.42 : x
  2. Step 2: Convert to fraction form
    630.40/945.26 = 219.42/x
  3. Step 3: Cross multiply
    630.40x = 945.26 × 219.42
  4. Step 4: Simplify right side
    630.40x = 207,408.95
  5. Step 5: Solve for x
    x = 207,408.95/630.40
  6. Step 6: Final answer
    x = 329.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.