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Finding the Fourth Proportional to 312.52, 469.16 and 299.48

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Solution

The fourth proportional to 312.52, 469.16 and 299.48 is: 449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.52 : 469.16 = 299.48 : x
  2. Step 2: Convert to fraction form
    312.52/469.16 = 299.48/x
  3. Step 3: Cross multiply
    312.52x = 469.16 × 299.48
  4. Step 4: Simplify right side
    312.52x = 140,504.04
  5. Step 5: Solve for x
    x = 140,504.04/312.52
  6. Step 6: Final answer
    x = 449.58

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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.