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Finding the Fourth Proportional to 304.48, 456.80 and 133.52

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Solution

The fourth proportional to 304.48, 456.80 and 133.52 is: 200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.48 : 456.80 = 133.52 : x
  2. Step 2: Convert to fraction form
    304.48/456.80 = 133.52/x
  3. Step 3: Cross multiply
    304.48x = 456.80 × 133.52
  4. Step 4: Simplify right side
    304.48x = 60,991.94
  5. Step 5: Solve for x
    x = 60,991.94/304.48
  6. Step 6: Final answer
    x = 200.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.