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Finding the Fourth Proportional to 333.20, 501.24 and 306.56

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Solution

The fourth proportional to 333.20, 501.24 and 306.56 is: 461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.20 : 501.24 = 306.56 : x
  2. Step 2: Convert to fraction form
    333.20/501.24 = 306.56/x
  3. Step 3: Cross multiply
    333.20x = 501.24 × 306.56
  4. Step 4: Simplify right side
    333.20x = 153,660.13
  5. Step 5: Solve for x
    x = 153,660.13/333.20
  6. Step 6: Final answer
    x = 461.16

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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.