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Finding the Fourth Proportional to 279.88, 419.80 and 157.76

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Solution

The fourth proportional to 279.88, 419.80 and 157.76 is: 236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.88 : 419.80 = 157.76 : x
  2. Step 2: Convert to fraction form
    279.88/419.80 = 157.76/x
  3. Step 3: Cross multiply
    279.88x = 419.80 × 157.76
  4. Step 4: Simplify right side
    279.88x = 66,227.65
  5. Step 5: Solve for x
    x = 66,227.65/279.88
  6. Step 6: Final answer
    x = 236.63

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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.