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Finding the Fourth Proportional to 314.12, 431.50 and 269.84

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Solution

The fourth proportional to 314.12, 431.50 and 269.84 is: 370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.12 : 431.50 = 269.84 : x
  2. Step 2: Convert to fraction form
    314.12/431.50 = 269.84/x
  3. Step 3: Cross multiply
    314.12x = 431.50 × 269.84
  4. Step 4: Simplify right side
    314.12x = 116,435.96
  5. Step 5: Solve for x
    x = 116,435.96/314.12
  6. Step 6: Final answer
    x = 370.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.