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Finding the Fourth Proportional to 333.72, 499.50 and 306.60

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Solution

The fourth proportional to 333.72, 499.50 and 306.60 is: 458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.72 : 499.50 = 306.60 : x
  2. Step 2: Convert to fraction form
    333.72/499.50 = 306.60/x
  3. Step 3: Cross multiply
    333.72x = 499.50 × 306.60
  4. Step 4: Simplify right side
    333.72x = 153,146.70
  5. Step 5: Solve for x
    x = 153,146.70/333.72
  6. Step 6: Final answer
    x = 458.91

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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.