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Finding the Fourth Proportional to 333.22, 500.01 and 307.72

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Solution

The fourth proportional to 333.22, 500.01 and 307.72 is: 461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.22 : 500.01 = 307.72 : x
  2. Step 2: Convert to fraction form
    333.22/500.01 = 307.72/x
  3. Step 3: Cross multiply
    333.22x = 500.01 × 307.72
  4. Step 4: Simplify right side
    333.22x = 153,863.08
  5. Step 5: Solve for x
    x = 153,863.08/333.22
  6. Step 6: Final answer
    x = 461.75

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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.