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Finding the Fourth Proportional to 353.45, 487.55 and 298.10

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Solution

The fourth proportional to 353.45, 487.55 and 298.10 is: 411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.45 : 487.55 = 298.10 : x
  2. Step 2: Convert to fraction form
    353.45/487.55 = 298.10/x
  3. Step 3: Cross multiply
    353.45x = 487.55 × 298.10
  4. Step 4: Simplify right side
    353.45x = 145,340.62
  5. Step 5: Solve for x
    x = 145,340.62/353.45
  6. Step 6: Final answer
    x = 411.20

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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.