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Finding the Fourth Proportional to 279.34, 419.34 and 131.24

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Solution

The fourth proportional to 279.34, 419.34 and 131.24 is: 197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.34 : 419.34 = 131.24 : x
  2. Step 2: Convert to fraction form
    279.34/419.34 = 131.24/x
  3. Step 3: Cross multiply
    279.34x = 419.34 × 131.24
  4. Step 4: Simplify right side
    279.34x = 55,032.58
  5. Step 5: Solve for x
    x = 55,032.58/279.34
  6. Step 6: Final answer
    x = 197.01

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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.