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Finding the Fourth Proportional to 283.21, 424.82 and 120.90

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Solution

The fourth proportional to 283.21, 424.82 and 120.90 is: 181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.21 : 424.82 = 120.90 : x
  2. Step 2: Convert to fraction form
    283.21/424.82 = 120.90/x
  3. Step 3: Cross multiply
    283.21x = 424.82 × 120.90
  4. Step 4: Simplify right side
    283.21x = 51,360.74
  5. Step 5: Solve for x
    x = 51,360.74/283.21
  6. Step 6: Final answer
    x = 181.35

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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.