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Finding the Fourth Proportional to 302.01, 452.15 and 198.01

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Solution

The fourth proportional to 302.01, 452.15 and 198.01 is: 296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.01 : 452.15 = 198.01 : x
  2. Step 2: Convert to fraction form
    302.01/452.15 = 198.01/x
  3. Step 3: Cross multiply
    302.01x = 452.15 × 198.01
  4. Step 4: Simplify right side
    302.01x = 89,530.22
  5. Step 5: Solve for x
    x = 89,530.22/302.01
  6. Step 6: Final answer
    x = 296.45

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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.