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Finding the Fourth Proportional to 333.32, 459.72 and 300.92

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Solution

The fourth proportional to 333.32, 459.72 and 300.92 is: 415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.32 : 459.72 = 300.92 : x
  2. Step 2: Convert to fraction form
    333.32/459.72 = 300.92/x
  3. Step 3: Cross multiply
    333.32x = 459.72 × 300.92
  4. Step 4: Simplify right side
    333.32x = 138,338.94
  5. Step 5: Solve for x
    x = 138,338.94/333.32
  6. Step 6: Final answer
    x = 415.03

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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.