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Finding the Fourth Proportional to 283.35, 425.13 and 192.90

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Solution

The fourth proportional to 283.35, 425.13 and 192.90 is: 289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.35 : 425.13 = 192.90 : x
  2. Step 2: Convert to fraction form
    283.35/425.13 = 192.90/x
  3. Step 3: Cross multiply
    283.35x = 425.13 × 192.90
  4. Step 4: Simplify right side
    283.35x = 82,005.26
  5. Step 5: Solve for x
    x = 82,005.26/283.35
  6. Step 6: Final answer
    x = 289.42

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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.