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Finding the Fourth Proportional to 283.56, 389.19 and 251.76

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Solution

The fourth proportional to 283.56, 389.19 and 251.76 is: 345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.56 : 389.19 = 251.76 : x
  2. Step 2: Convert to fraction form
    283.56/389.19 = 251.76/x
  3. Step 3: Cross multiply
    283.56x = 389.19 × 251.76
  4. Step 4: Simplify right side
    283.56x = 97,982.47
  5. Step 5: Solve for x
    x = 97,982.47/283.56
  6. Step 6: Final answer
    x = 345.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.