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Finding the Fourth Proportional to 300.23, 416.20 and 283.80

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Solution

The fourth proportional to 300.23, 416.20 and 283.80 is: 393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.23 : 416.20 = 283.80 : x
  2. Step 2: Convert to fraction form
    300.23/416.20 = 283.80/x
  3. Step 3: Cross multiply
    300.23x = 416.20 × 283.80
  4. Step 4: Simplify right side
    300.23x = 118,117.91
  5. Step 5: Solve for x
    x = 118,117.91/300.23
  6. Step 6: Final answer
    x = 393.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.