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Finding the Fourth Proportional to 228.80, 317.85 and 226.66

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Solution

The fourth proportional to 228.80, 317.85 and 226.66 is: 314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.80 : 317.85 = 226.66 : x
  2. Step 2: Convert to fraction form
    228.80/317.85 = 226.66/x
  3. Step 3: Cross multiply
    228.80x = 317.85 × 226.66
  4. Step 4: Simplify right side
    228.80x = 72,043.88
  5. Step 5: Solve for x
    x = 72,043.88/228.80
  6. Step 6: Final answer
    x = 314.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.