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Finding the Fourth Proportional to 271.81, 407.94 and 184.94

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Solution

The fourth proportional to 271.81, 407.94 and 184.94 is: 277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.81 : 407.94 = 184.94 : x
  2. Step 2: Convert to fraction form
    271.81/407.94 = 184.94/x
  3. Step 3: Cross multiply
    271.81x = 407.94 × 184.94
  4. Step 4: Simplify right side
    271.81x = 75,444.42
  5. Step 5: Solve for x
    x = 75,444.42/271.81
  6. Step 6: Final answer
    x = 277.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.