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Finding the Fourth Proportional to 314.75, 471.69 and 268.23

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Solution

The fourth proportional to 314.75, 471.69 and 268.23 is: 401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.75 : 471.69 = 268.23 : x
  2. Step 2: Convert to fraction form
    314.75/471.69 = 268.23/x
  3. Step 3: Cross multiply
    314.75x = 471.69 × 268.23
  4. Step 4: Simplify right side
    314.75x = 126,520.07
  5. Step 5: Solve for x
    x = 126,520.07/314.75
  6. Step 6: Final answer
    x = 401.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.