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Finding the Fourth Proportional to 299.46, 448.84 and 265.29

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Solution

The fourth proportional to 299.46, 448.84 and 265.29 is: 397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.46 : 448.84 = 265.29 : x
  2. Step 2: Convert to fraction form
    299.46/448.84 = 265.29/x
  3. Step 3: Cross multiply
    299.46x = 448.84 × 265.29
  4. Step 4: Simplify right side
    299.46x = 119,072.76
  5. Step 5: Solve for x
    x = 119,072.76/299.46
  6. Step 6: Final answer
    x = 397.62

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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.