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Finding the Fourth Proportional to 304.57, 421.23 and 271.77

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Solution

The fourth proportional to 304.57, 421.23 and 271.77 is: 375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.57 : 421.23 = 271.77 : x
  2. Step 2: Convert to fraction form
    304.57/421.23 = 271.77/x
  3. Step 3: Cross multiply
    304.57x = 421.23 × 271.77
  4. Step 4: Simplify right side
    304.57x = 114,477.68
  5. Step 5: Solve for x
    x = 114,477.68/304.57
  6. Step 6: Final answer
    x = 375.87

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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.