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Finding the Fourth Proportional to 301.60, 415.65 and 226.78

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Solution

The fourth proportional to 301.60, 415.65 and 226.78 is: 312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.60 : 415.65 = 226.78 : x
  2. Step 2: Convert to fraction form
    301.60/415.65 = 226.78/x
  3. Step 3: Cross multiply
    301.60x = 415.65 × 226.78
  4. Step 4: Simplify right side
    301.60x = 94,261.11
  5. Step 5: Solve for x
    x = 94,261.11/301.60
  6. Step 6: Final answer
    x = 312.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.