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Finding the Fourth Proportional to 277.74, 383.20 and 159.75

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Solution

The fourth proportional to 277.74, 383.20 and 159.75 is: 220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.74 : 383.20 = 159.75 : x
  2. Step 2: Convert to fraction form
    277.74/383.20 = 159.75/x
  3. Step 3: Cross multiply
    277.74x = 383.20 × 159.75
  4. Step 4: Simplify right side
    277.74x = 61,216.20
  5. Step 5: Solve for x
    x = 61,216.20/277.74
  6. Step 6: Final answer
    x = 220.41

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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.