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Finding the Fourth Proportional to 314.85, 433.83 and 231.84

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Solution

The fourth proportional to 314.85, 433.83 and 231.84 is: 319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.85 : 433.83 = 231.84 : x
  2. Step 2: Convert to fraction form
    314.85/433.83 = 231.84/x
  3. Step 3: Cross multiply
    314.85x = 433.83 × 231.84
  4. Step 4: Simplify right side
    314.85x = 100,579.15
  5. Step 5: Solve for x
    x = 100,579.15/314.85
  6. Step 6: Final answer
    x = 319.45

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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.