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Finding the Fourth Proportional to 314.64, 433.80 and 231.96

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Solution

The fourth proportional to 314.64, 433.80 and 231.96 is: 319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.64 : 433.80 = 231.96 : x
  2. Step 2: Convert to fraction form
    314.64/433.80 = 231.96/x
  3. Step 3: Cross multiply
    314.64x = 433.80 × 231.96
  4. Step 4: Simplify right side
    314.64x = 100,624.25
  5. Step 5: Solve for x
    x = 100,624.25/314.64
  6. Step 6: Final answer
    x = 319.81

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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.