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Finding the Fourth Proportional to 303.24, 418.18 and 205.10

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Solution

The fourth proportional to 303.24, 418.18 and 205.10 is: 282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.24 : 418.18 = 205.10 : x
  2. Step 2: Convert to fraction form
    303.24/418.18 = 205.10/x
  3. Step 3: Cross multiply
    303.24x = 418.18 × 205.10
  4. Step 4: Simplify right side
    303.24x = 85,768.72
  5. Step 5: Solve for x
    x = 85,768.72/303.24
  6. Step 6: Final answer
    x = 282.84

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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.