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Finding the Fourth Proportional to 277.76, 383.27 and 159.74

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Solution

The fourth proportional to 277.76, 383.27 and 159.74 is: 220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.76 : 383.27 = 159.74 : x
  2. Step 2: Convert to fraction form
    277.76/383.27 = 159.74/x
  3. Step 3: Cross multiply
    277.76x = 383.27 × 159.74
  4. Step 4: Simplify right side
    277.76x = 61,222.75
  5. Step 5: Solve for x
    x = 61,222.75/277.76
  6. Step 6: Final answer
    x = 220.42

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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.