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Finding the Fourth Proportional to 303.60, 418.86 and 204.02

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Solution

The fourth proportional to 303.60, 418.86 and 204.02 is: 281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.60 : 418.86 = 204.02 : x
  2. Step 2: Convert to fraction form
    303.60/418.86 = 204.02/x
  3. Step 3: Cross multiply
    303.60x = 418.86 × 204.02
  4. Step 4: Simplify right side
    303.60x = 85,455.82
  5. Step 5: Solve for x
    x = 85,455.82/303.60
  6. Step 6: Final answer
    x = 281.48

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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.