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Finding the Fourth Proportional to 641.99, 962.22 and 295.04

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Solution

The fourth proportional to 641.99, 962.22 and 295.04 is: 442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.99 : 962.22 = 295.04 : x
  2. Step 2: Convert to fraction form
    641.99/962.22 = 295.04/x
  3. Step 3: Cross multiply
    641.99x = 962.22 × 295.04
  4. Step 4: Simplify right side
    641.99x = 283,896.90
  5. Step 5: Solve for x
    x = 283,896.90/641.99
  6. Step 6: Final answer
    x = 442.21

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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.