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Finding the Fourth Proportional to 277.94, 383.57 and 167.42

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Solution

The fourth proportional to 277.94, 383.57 and 167.42 is: 231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.94 : 383.57 = 167.42 : x
  2. Step 2: Convert to fraction form
    277.94/383.57 = 167.42/x
  3. Step 3: Cross multiply
    277.94x = 383.57 × 167.42
  4. Step 4: Simplify right side
    277.94x = 64,217.29
  5. Step 5: Solve for x
    x = 64,217.29/277.94
  6. Step 6: Final answer
    x = 231.05

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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.