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Finding the Fourth Proportional to 283.53, 389.40 and 250.74

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Solution

The fourth proportional to 283.53, 389.40 and 250.74 is: 344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.53 : 389.40 = 250.74 : x
  2. Step 2: Convert to fraction form
    283.53/389.40 = 250.74/x
  3. Step 3: Cross multiply
    283.53x = 389.40 × 250.74
  4. Step 4: Simplify right side
    283.53x = 97,638.16
  5. Step 5: Solve for x
    x = 97,638.16/283.53
  6. Step 6: Final answer
    x = 344.37

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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.