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Finding the Fourth Proportional to 314.24, 433.76 and 231.44

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Solution

The fourth proportional to 314.24, 433.76 and 231.44 is: 319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.24 : 433.76 = 231.44 : x
  2. Step 2: Convert to fraction form
    314.24/433.76 = 231.44/x
  3. Step 3: Cross multiply
    314.24x = 433.76 × 231.44
  4. Step 4: Simplify right side
    314.24x = 100,389.41
  5. Step 5: Solve for x
    x = 100,389.41/314.24
  6. Step 6: Final answer
    x = 319.47

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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.