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Finding the Fourth Proportional to 302.96, 454.10 and 198.80

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Solution

The fourth proportional to 302.96, 454.10 and 198.80 is: 297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.96 : 454.10 = 198.80 : x
  2. Step 2: Convert to fraction form
    302.96/454.10 = 198.80/x
  3. Step 3: Cross multiply
    302.96x = 454.10 × 198.80
  4. Step 4: Simplify right side
    302.96x = 90,272.81
  5. Step 5: Solve for x
    x = 90,272.81/302.96
  6. Step 6: Final answer
    x = 297.97

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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.