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Finding the Fourth Proportional to 279.93, 419.28 and 135.34

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Solution

The fourth proportional to 279.93, 419.28 and 135.34 is: 202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.93 : 419.28 = 135.34 : x
  2. Step 2: Convert to fraction form
    279.93/419.28 = 135.34/x
  3. Step 3: Cross multiply
    279.93x = 419.28 × 135.34
  4. Step 4: Simplify right side
    279.93x = 56,745.36
  5. Step 5: Solve for x
    x = 56,745.36/279.93
  6. Step 6: Final answer
    x = 202.71

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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.