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Finding the Fourth Proportional to 333.27, 460.40 and 263.79

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Solution

The fourth proportional to 333.27, 460.40 and 263.79 is: 364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.27 : 460.40 = 263.79 : x
  2. Step 2: Convert to fraction form
    333.27/460.40 = 263.79/x
  3. Step 3: Cross multiply
    333.27x = 460.40 × 263.79
  4. Step 4: Simplify right side
    333.27x = 121,448.92
  5. Step 5: Solve for x
    x = 121,448.92/333.27
  6. Step 6: Final answer
    x = 364.42

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