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Finding the Fourth Proportional to 326.41, 487.32 and 248.95

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Solution

The fourth proportional to 326.41, 487.32 and 248.95 is: 371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.41 : 487.32 = 248.95 : x
  2. Step 2: Convert to fraction form
    326.41/487.32 = 248.95/x
  3. Step 3: Cross multiply
    326.41x = 487.32 × 248.95
  4. Step 4: Simplify right side
    326.41x = 121,314.63
  5. Step 5: Solve for x
    x = 121,314.63/326.41
  6. Step 6: Final answer
    x = 371.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.