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Finding the Fourth Proportional to 301.29, 415.60 and 227.89

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Solution

The fourth proportional to 301.29, 415.60 and 227.89 is: 314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.29 : 415.60 = 227.89 : x
  2. Step 2: Convert to fraction form
    301.29/415.60 = 227.89/x
  3. Step 3: Cross multiply
    301.29x = 415.60 × 227.89
  4. Step 4: Simplify right side
    301.29x = 94,711.08
  5. Step 5: Solve for x
    x = 94,711.08/301.29
  6. Step 6: Final answer
    x = 314.35

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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.