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Finding the Fourth Proportional to 302.86, 418.08 and 198.01

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Solution

The fourth proportional to 302.86, 418.08 and 198.01 is: 273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.86 : 418.08 = 198.01 : x
  2. Step 2: Convert to fraction form
    302.86/418.08 = 198.01/x
  3. Step 3: Cross multiply
    302.86x = 418.08 × 198.01
  4. Step 4: Simplify right side
    302.86x = 82,784.02
  5. Step 5: Solve for x
    x = 82,784.02/302.86
  6. Step 6: Final answer
    x = 273.34

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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.