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Finding the Fourth Proportional to 283.10, 424.68 and 120.78

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Solution

The fourth proportional to 283.10, 424.68 and 120.78 is: 181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.10 : 424.68 = 120.78 : x
  2. Step 2: Convert to fraction form
    283.10/424.68 = 120.78/x
  3. Step 3: Cross multiply
    283.10x = 424.68 × 120.78
  4. Step 4: Simplify right side
    283.10x = 51,292.85
  5. Step 5: Solve for x
    x = 51,292.85/283.10
  6. Step 6: Final answer
    x = 181.18

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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.