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Finding the Fourth Proportional to 420.99, 631 and 204.45

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Solution

The fourth proportional to 420.99, 631 and 204.45 is: 306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.99 : 631 = 204.45 : x
  2. Step 2: Convert to fraction form
    420.99/631 = 204.45/x
  3. Step 3: Cross multiply
    420.99x = 631 × 204.45
  4. Step 4: Simplify right side
    420.99x = 129,007.95
  5. Step 5: Solve for x
    x = 129,007.95/420.99
  6. Step 6: Final answer
    x = 306.44

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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.