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Finding the Fourth Proportional to 218.41, 328.91 and 157.97

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Solution

The fourth proportional to 218.41, 328.91 and 157.97 is: 237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.41 : 328.91 = 157.97 : x
  2. Step 2: Convert to fraction form
    218.41/328.91 = 157.97/x
  3. Step 3: Cross multiply
    218.41x = 328.91 × 157.97
  4. Step 4: Simplify right side
    218.41x = 51,955.87
  5. Step 5: Solve for x
    x = 51,955.87/218.41
  6. Step 6: Final answer
    x = 237.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.