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Finding the Fourth Proportional to 314.70, 433.89 and 231.54

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Solution

The fourth proportional to 314.70, 433.89 and 231.54 is: 319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.70 : 433.89 = 231.54 : x
  2. Step 2: Convert to fraction form
    314.70/433.89 = 231.54/x
  3. Step 3: Cross multiply
    314.70x = 433.89 × 231.54
  4. Step 4: Simplify right side
    314.70x = 100,462.89
  5. Step 5: Solve for x
    x = 100,462.89/314.70
  6. Step 6: Final answer
    x = 319.23

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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.