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Finding the Fourth Proportional to 231.64, 321.74 and 225.16

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Solution

The fourth proportional to 231.64, 321.74 and 225.16 is: 312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.64 : 321.74 = 225.16 : x
  2. Step 2: Convert to fraction form
    231.64/321.74 = 225.16/x
  3. Step 3: Cross multiply
    231.64x = 321.74 × 225.16
  4. Step 4: Simplify right side
    231.64x = 72,443.78
  5. Step 5: Solve for x
    x = 72,443.78/231.64
  6. Step 6: Final answer
    x = 312.74

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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.