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Finding the Fourth Proportional to 299.24, 448.72 and 175.90

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Solution

The fourth proportional to 299.24, 448.72 and 175.90 is: 263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.24 : 448.72 = 175.90 : x
  2. Step 2: Convert to fraction form
    299.24/448.72 = 175.90/x
  3. Step 3: Cross multiply
    299.24x = 448.72 × 175.90
  4. Step 4: Simplify right side
    299.24x = 78,928.29
  5. Step 5: Solve for x
    x = 78,928.29/299.24
  6. Step 6: Final answer
    x = 263.77

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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.