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Finding the Fourth Proportional to 228.79, 317.84 and 226.65

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Solution

The fourth proportional to 228.79, 317.84 and 226.65 is: 314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.79 : 317.84 = 226.65 : x
  2. Step 2: Convert to fraction form
    228.79/317.84 = 226.65/x
  3. Step 3: Cross multiply
    228.79x = 317.84 × 226.65
  4. Step 4: Simplify right side
    228.79x = 72,039.77
  5. Step 5: Solve for x
    x = 72,039.77/228.79
  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.