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Finding the Fourth Proportional to 302.90, 418.14 and 198.14

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Solution

The fourth proportional to 302.90, 418.14 and 198.14 is: 273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.90 : 418.14 = 198.14 : x
  2. Step 2: Convert to fraction form
    302.90/418.14 = 198.14/x
  3. Step 3: Cross multiply
    302.90x = 418.14 × 198.14
  4. Step 4: Simplify right side
    302.90x = 82,848.17
  5. Step 5: Solve for x
    x = 82,848.17/302.90
  6. Step 6: Final answer
    x = 273.52

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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.