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Finding the Fourth Proportional to 278.32, 417.44 and 85.96

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Solution

The fourth proportional to 278.32, 417.44 and 85.96 is: 128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.32 : 417.44 = 85.96 : x
  2. Step 2: Convert to fraction form
    278.32/417.44 = 85.96/x
  3. Step 3: Cross multiply
    278.32x = 417.44 × 85.96
  4. Step 4: Simplify right side
    278.32x = 35,883.14
  5. Step 5: Solve for x
    x = 35,883.14/278.32
  6. Step 6: Final answer
    x = 128.93

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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.