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Finding the Fourth Proportional to 278.44, 417.93 and 134.26

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Solution

The fourth proportional to 278.44, 417.93 and 134.26 is: 201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.44 : 417.93 = 134.26 : x
  2. Step 2: Convert to fraction form
    278.44/417.93 = 134.26/x
  3. Step 3: Cross multiply
    278.44x = 417.93 × 134.26
  4. Step 4: Simplify right side
    278.44x = 56,108.52
  5. Step 5: Solve for x
    x = 56,108.52/278.44
  6. Step 6: Final answer
    x = 201.51

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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.