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Finding the Fourth Proportional to 333.89, 501.01 and 197.20

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Solution

The fourth proportional to 333.89, 501.01 and 197.20 is: 295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.89 : 501.01 = 197.20 : x
  2. Step 2: Convert to fraction form
    333.89/501.01 = 197.20/x
  3. Step 3: Cross multiply
    333.89x = 501.01 × 197.20
  4. Step 4: Simplify right side
    333.89x = 98,799.17
  5. Step 5: Solve for x
    x = 98,799.17/333.89
  6. Step 6: Final answer
    x = 295.90

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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.