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Finding the Fourth Proportional to 302.16, 452.82 and 199.28

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Solution

The fourth proportional to 302.16, 452.82 and 199.28 is: 298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.16 : 452.82 = 199.28 : x
  2. Step 2: Convert to fraction form
    302.16/452.82 = 199.28/x
  3. Step 3: Cross multiply
    302.16x = 452.82 × 199.28
  4. Step 4: Simplify right side
    302.16x = 90,237.97
  5. Step 5: Solve for x
    x = 90,237.97/302.16
  6. Step 6: Final answer
    x = 298.64

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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.