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Finding the Fourth Proportional to 299.15, 447.47 and 264.30

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Solution

The fourth proportional to 299.15, 447.47 and 264.30 is: 395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.15 : 447.47 = 264.30 : x
  2. Step 2: Convert to fraction form
    299.15/447.47 = 264.30/x
  3. Step 3: Cross multiply
    299.15x = 447.47 × 264.30
  4. Step 4: Simplify right side
    299.15x = 118,266.32
  5. Step 5: Solve for x
    x = 118,266.32/299.15
  6. Step 6: Final answer
    x = 395.34

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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.