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Finding the Fourth Proportional to 302.28, 414.42 and 294.12

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Solution

The fourth proportional to 302.28, 414.42 and 294.12 is: 403.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.28 : 414.42 = 294.12 : x
  2. Step 2: Convert to fraction form
    302.28/414.42 = 294.12/x
  3. Step 3: Cross multiply
    302.28x = 414.42 × 294.12
  4. Step 4: Simplify right side
    302.28x = 121,889.21
  5. Step 5: Solve for x
    x = 121,889.21/302.28
  6. Step 6: Final answer
    x = 403.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.