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Finding the Fourth Proportional to 488.80, 674.36 and 292.16

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Solution

The fourth proportional to 488.80, 674.36 and 292.16 is: 403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.80 : 674.36 = 292.16 : x
  2. Step 2: Convert to fraction form
    488.80/674.36 = 292.16/x
  3. Step 3: Cross multiply
    488.80x = 674.36 × 292.16
  4. Step 4: Simplify right side
    488.80x = 197,021.02
  5. Step 5: Solve for x
    x = 197,021.02/488.80
  6. Step 6: Final answer
    x = 403.07

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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.