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Finding the Fourth Proportional to 278.51, 417.77 and 95.91

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Solution

The fourth proportional to 278.51, 417.77 and 95.91 is: 143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.51 : 417.77 = 95.91 : x
  2. Step 2: Convert to fraction form
    278.51/417.77 = 95.91/x
  3. Step 3: Cross multiply
    278.51x = 417.77 × 95.91
  4. Step 4: Simplify right side
    278.51x = 40,067.84
  5. Step 5: Solve for x
    x = 40,067.84/278.51
  6. Step 6: Final answer
    x = 143.87

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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.