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Finding the Fourth Proportional to 301.40, 412.27 and 294.20

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Solution

The fourth proportional to 301.40, 412.27 and 294.20 is: 402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.40 : 412.27 = 294.20 : x
  2. Step 2: Convert to fraction form
    301.40/412.27 = 294.20/x
  3. Step 3: Cross multiply
    301.40x = 412.27 × 294.20
  4. Step 4: Simplify right side
    301.40x = 121,289.83
  5. Step 5: Solve for x
    x = 121,289.83/301.40
  6. Step 6: Final answer
    x = 402.42

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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.