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Finding the Fourth Proportional to 362.60, 543.36 and 298.05

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Solution

The fourth proportional to 362.60, 543.36 and 298.05 is: 446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.60 : 543.36 = 298.05 : x
  2. Step 2: Convert to fraction form
    362.60/543.36 = 298.05/x
  3. Step 3: Cross multiply
    362.60x = 543.36 × 298.05
  4. Step 4: Simplify right side
    362.60x = 161,948.91
  5. Step 5: Solve for x
    x = 161,948.91/362.60
  6. Step 6: Final answer
    x = 446.63

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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.