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Finding the Fourth Proportional to 299.12, 448.55 and 175.85

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Solution

The fourth proportional to 299.12, 448.55 and 175.85 is: 263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.12 : 448.55 = 175.85 : x
  2. Step 2: Convert to fraction form
    299.12/448.55 = 175.85/x
  3. Step 3: Cross multiply
    299.12x = 448.55 × 175.85
  4. Step 4: Simplify right side
    299.12x = 78,877.76
  5. Step 5: Solve for x
    x = 78,877.76/299.12
  6. Step 6: Final answer
    x = 263.70

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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.