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Finding the Fourth Proportional to 331.88, 498.14 and 210.44

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Solution

The fourth proportional to 331.88, 498.14 and 210.44 is: 315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.88 : 498.14 = 210.44 : x
  2. Step 2: Convert to fraction form
    331.88/498.14 = 210.44/x
  3. Step 3: Cross multiply
    331.88x = 498.14 × 210.44
  4. Step 4: Simplify right side
    331.88x = 104,828.58
  5. Step 5: Solve for x
    x = 104,828.58/331.88
  6. Step 6: Final answer
    x = 315.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.