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Finding the Fourth Proportional to 485.08, 669.42 and 298.50

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Solution

The fourth proportional to 485.08, 669.42 and 298.50 is: 411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.08 : 669.42 = 298.50 : x
  2. Step 2: Convert to fraction form
    485.08/669.42 = 298.50/x
  3. Step 3: Cross multiply
    485.08x = 669.42 × 298.50
  4. Step 4: Simplify right side
    485.08x = 199,821.87
  5. Step 5: Solve for x
    x = 199,821.87/485.08
  6. Step 6: Final answer
    x = 411.94

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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.