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Finding the Fourth Proportional to 358.91, 494.70 and 271.43

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Solution

The fourth proportional to 358.91, 494.70 and 271.43 is: 374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.91 : 494.70 = 271.43 : x
  2. Step 2: Convert to fraction form
    358.91/494.70 = 271.43/x
  3. Step 3: Cross multiply
    358.91x = 494.70 × 271.43
  4. Step 4: Simplify right side
    358.91x = 134,276.42
  5. Step 5: Solve for x
    x = 134,276.42/358.91
  6. Step 6: Final answer
    x = 374.12

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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.