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Finding the Fourth Proportional to 299.79, 448.61 and 178.13

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Solution

The fourth proportional to 299.79, 448.61 and 178.13 is: 266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.79 : 448.61 = 178.13 : x
  2. Step 2: Convert to fraction form
    299.79/448.61 = 178.13/x
  3. Step 3: Cross multiply
    299.79x = 448.61 × 178.13
  4. Step 4: Simplify right side
    299.79x = 79,907.77
  5. Step 5: Solve for x
    x = 79,907.77/299.79
  6. Step 6: Final answer
    x = 266.55

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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.