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Finding the Fourth Proportional to 357.41, 493.09 and 247.15

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Solution

The fourth proportional to 357.41, 493.09 and 247.15 is: 340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.41 : 493.09 = 247.15 : x
  2. Step 2: Convert to fraction form
    357.41/493.09 = 247.15/x
  3. Step 3: Cross multiply
    357.41x = 493.09 × 247.15
  4. Step 4: Simplify right side
    357.41x = 121,867.19
  5. Step 5: Solve for x
    x = 121,867.19/357.41
  6. Step 6: Final answer
    x = 340.97

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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.