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Finding the Fourth Proportional to 283.57, 427.28 and 233.34

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Solution

The fourth proportional to 283.57, 427.28 and 233.34 is: 351.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.57 : 427.28 = 233.34 : x
  2. Step 2: Convert to fraction form
    283.57/427.28 = 233.34/x
  3. Step 3: Cross multiply
    283.57x = 427.28 × 233.34
  4. Step 4: Simplify right side
    283.57x = 99,700.52
  5. Step 5: Solve for x
    x = 99,700.52/283.57
  6. Step 6: Final answer
    x = 351.59

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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.