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Finding the Fourth Proportional to 464.48, 641.36 and 333.76

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Solution

The fourth proportional to 464.48, 641.36 and 333.76 is: 460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.48 : 641.36 = 333.76 : x
  2. Step 2: Convert to fraction form
    464.48/641.36 = 333.76/x
  3. Step 3: Cross multiply
    464.48x = 641.36 × 333.76
  4. Step 4: Simplify right side
    464.48x = 214,060.31
  5. Step 5: Solve for x
    x = 214,060.31/464.48
  6. Step 6: Final answer
    x = 460.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.