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Finding the Fourth Proportional to 486.16, 730.35 and 281.23

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Solution

The fourth proportional to 486.16, 730.35 and 281.23 is: 422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.16 : 730.35 = 281.23 : x
  2. Step 2: Convert to fraction form
    486.16/730.35 = 281.23/x
  3. Step 3: Cross multiply
    486.16x = 730.35 × 281.23
  4. Step 4: Simplify right side
    486.16x = 205,396.33
  5. Step 5: Solve for x
    x = 205,396.33/486.16
  6. Step 6: Final answer
    x = 422.49

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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.