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Finding the Fourth Proportional to 294.07, 440.49 and 171.96

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Solution

The fourth proportional to 294.07, 440.49 and 171.96 is: 257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.07 : 440.49 = 171.96 : x
  2. Step 2: Convert to fraction form
    294.07/440.49 = 171.96/x
  3. Step 3: Cross multiply
    294.07x = 440.49 × 171.96
  4. Step 4: Simplify right side
    294.07x = 75,746.66
  5. Step 5: Solve for x
    x = 75,746.66/294.07
  6. Step 6: Final answer
    x = 257.58

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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.