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Finding the Fourth Proportional to 257.26, 386.00 and 94.91

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Solution

The fourth proportional to 257.26, 386.00 and 94.91 is: 142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.26 : 386.00 = 94.91 : x
  2. Step 2: Convert to fraction form
    257.26/386.00 = 94.91/x
  3. Step 3: Cross multiply
    257.26x = 386.00 × 94.91
  4. Step 4: Simplify right side
    257.26x = 36,632.86
  5. Step 5: Solve for x
    x = 36,632.86/257.26
  6. Step 6: Final answer
    x = 142.40

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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.