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Finding the Fourth Proportional to 354.41, 491.21 and 347.93

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Solution

The fourth proportional to 354.41, 491.21 and 347.93 is: 482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.41 : 491.21 = 347.93 : x
  2. Step 2: Convert to fraction form
    354.41/491.21 = 347.93/x
  3. Step 3: Cross multiply
    354.41x = 491.21 × 347.93
  4. Step 4: Simplify right side
    354.41x = 170,906.70
  5. Step 5: Solve for x
    x = 170,906.70/354.41
  6. Step 6: Final answer
    x = 482.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.