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Finding the Fourth Proportional to 277.69, 383.24 and 167.22

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Solution

The fourth proportional to 277.69, 383.24 and 167.22 is: 230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.69 : 383.24 = 167.22 : x
  2. Step 2: Convert to fraction form
    277.69/383.24 = 167.22/x
  3. Step 3: Cross multiply
    277.69x = 383.24 × 167.22
  4. Step 4: Simplify right side
    277.69x = 64,085.39
  5. Step 5: Solve for x
    x = 64,085.39/277.69
  6. Step 6: Final answer
    x = 230.78

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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.