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Finding the Fourth Proportional to 277.91, 383.51 and 159.87

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Solution

The fourth proportional to 277.91, 383.51 and 159.87 is: 220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.91 : 383.51 = 159.87 : x
  2. Step 2: Convert to fraction form
    277.91/383.51 = 159.87/x
  3. Step 3: Cross multiply
    277.91x = 383.51 × 159.87
  4. Step 4: Simplify right side
    277.91x = 61,310.94
  5. Step 5: Solve for x
    x = 61,310.94/277.91
  6. Step 6: Final answer
    x = 220.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.