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Finding the Fourth Proportional to 333.10, 456.74 and 321.51

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Solution

The fourth proportional to 333.10, 456.74 and 321.51 is: 440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.10 : 456.74 = 321.51 : x
  2. Step 2: Convert to fraction form
    333.10/456.74 = 321.51/x
  3. Step 3: Cross multiply
    333.10x = 456.74 × 321.51
  4. Step 4: Simplify right side
    333.10x = 146,846.48
  5. Step 5: Solve for x
    x = 146,846.48/333.10
  6. Step 6: Final answer
    x = 440.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.