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Finding the Fourth Proportional to 424.04, 634.98 and 295.64

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Solution

The fourth proportional to 424.04, 634.98 and 295.64 is: 442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.04 : 634.98 = 295.64 : x
  2. Step 2: Convert to fraction form
    424.04/634.98 = 295.64/x
  3. Step 3: Cross multiply
    424.04x = 634.98 × 295.64
  4. Step 4: Simplify right side
    424.04x = 187,725.49
  5. Step 5: Solve for x
    x = 187,725.49/424.04
  6. Step 6: Final answer
    x = 442.71

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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.