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Finding the Fourth Proportional to 357.75, 493.43 and 247.41

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Solution

The fourth proportional to 357.75, 493.43 and 247.41 is: 341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.75 : 493.43 = 247.41 : x
  2. Step 2: Convert to fraction form
    357.75/493.43 = 247.41/x
  3. Step 3: Cross multiply
    357.75x = 493.43 × 247.41
  4. Step 4: Simplify right side
    357.75x = 122,078.28
  5. Step 5: Solve for x
    x = 122,078.28/357.75
  6. Step 6: Final answer
    x = 341.24

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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.