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Finding the Fourth Proportional to 283.98, 427.26 and 257.76

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Solution

The fourth proportional to 283.98, 427.26 and 257.76 is: 387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.98 : 427.26 = 257.76 : x
  2. Step 2: Convert to fraction form
    283.98/427.26 = 257.76/x
  3. Step 3: Cross multiply
    283.98x = 427.26 × 257.76
  4. Step 4: Simplify right side
    283.98x = 110,130.54
  5. Step 5: Solve for x
    x = 110,130.54/283.98
  6. Step 6: Final answer
    x = 387.81

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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.