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Finding the Fourth Proportional to 331.97, 498.12 and 147.00

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Solution

The fourth proportional to 331.97, 498.12 and 147.00 is: 220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.97 : 498.12 = 147.00 : x
  2. Step 2: Convert to fraction form
    331.97/498.12 = 147.00/x
  3. Step 3: Cross multiply
    331.97x = 498.12 × 147.00
  4. Step 4: Simplify right side
    331.97x = 73,223.40
  5. Step 5: Solve for x
    x = 73,223.40/331.97
  6. Step 6: Final answer
    x = 220.58

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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.