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Finding the Fourth Proportional to 312.28, 469.33 and 231.48

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Solution

The fourth proportional to 312.28, 469.33 and 231.48 is: 347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.28 : 469.33 = 231.48 : x
  2. Step 2: Convert to fraction form
    312.28/469.33 = 231.48/x
  3. Step 3: Cross multiply
    312.28x = 469.33 × 231.48
  4. Step 4: Simplify right side
    312.28x = 108,639.93
  5. Step 5: Solve for x
    x = 108,639.93/312.28
  6. Step 6: Final answer
    x = 347.90

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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.