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Finding the Fourth Proportional to 302.73, 452.36 and 254.13

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Solution

The fourth proportional to 302.73, 452.36 and 254.13 is: 379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.73 : 452.36 = 254.13 : x
  2. Step 2: Convert to fraction form
    302.73/452.36 = 254.13/x
  3. Step 3: Cross multiply
    302.73x = 452.36 × 254.13
  4. Step 4: Simplify right side
    302.73x = 114,958.25
  5. Step 5: Solve for x
    x = 114,958.25/302.73
  6. Step 6: Final answer
    x = 379.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.