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Finding the Fourth Proportional to 488.50, 730.92 and 305.04

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Solution

The fourth proportional to 488.50, 730.92 and 305.04 is: 456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.50 : 730.92 = 305.04 : x
  2. Step 2: Convert to fraction form
    488.50/730.92 = 305.04/x
  3. Step 3: Cross multiply
    488.50x = 730.92 × 305.04
  4. Step 4: Simplify right side
    488.50x = 222,959.84
  5. Step 5: Solve for x
    x = 222,959.84/488.50
  6. Step 6: Final answer
    x = 456.42

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Why These Related Problems?

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