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Finding the Fourth Proportional to 488.59, 674.23 and 292.21

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Solution

The fourth proportional to 488.59, 674.23 and 292.21 is: 403.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.59 : 674.23 = 292.21 : x
  2. Step 2: Convert to fraction form
    488.59/674.23 = 292.21/x
  3. Step 3: Cross multiply
    488.59x = 674.23 × 292.21
  4. Step 4: Simplify right side
    488.59x = 197,011.92
  5. Step 5: Solve for x
    x = 197,011.92/488.59
  6. Step 6: Final answer
    x = 403.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.