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Finding the Fourth Proportional to 279.50, 419.01 and 142.46

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Solution

The fourth proportional to 279.50, 419.01 and 142.46 is: 213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.50 : 419.01 = 142.46 : x
  2. Step 2: Convert to fraction form
    279.50/419.01 = 142.46/x
  3. Step 3: Cross multiply
    279.50x = 419.01 × 142.46
  4. Step 4: Simplify right side
    279.50x = 59,692.16
  5. Step 5: Solve for x
    x = 59,692.16/279.50
  6. Step 6: Final answer
    x = 213.57

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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.