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Finding the Fourth Proportional to 279.69, 419.58 and 158.73

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Solution

The fourth proportional to 279.69, 419.58 and 158.73 is: 238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.69 : 419.58 = 158.73 : x
  2. Step 2: Convert to fraction form
    279.69/419.58 = 158.73/x
  3. Step 3: Cross multiply
    279.69x = 419.58 × 158.73
  4. Step 4: Simplify right side
    279.69x = 66,599.93
  5. Step 5: Solve for x
    x = 66,599.93/279.69
  6. Step 6: Final answer
    x = 238.12

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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.