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Finding the Fourth Proportional to 283.57, 427.98 and 276.28

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Solution

The fourth proportional to 283.57, 427.98 and 276.28 is: 416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.57 : 427.98 = 276.28 : x
  2. Step 2: Convert to fraction form
    283.57/427.98 = 276.28/x
  3. Step 3: Cross multiply
    283.57x = 427.98 × 276.28
  4. Step 4: Simplify right side
    283.57x = 118,242.36
  5. Step 5: Solve for x
    x = 118,242.36/283.57
  6. Step 6: Final answer
    x = 416.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.