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Finding the Fourth Proportional to 450.79, 676.15 and 142.58

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Solution

The fourth proportional to 450.79, 676.15 and 142.58 is: 213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.79 : 676.15 = 142.58 : x
  2. Step 2: Convert to fraction form
    450.79/676.15 = 142.58/x
  3. Step 3: Cross multiply
    450.79x = 676.15 × 142.58
  4. Step 4: Simplify right side
    450.79x = 96,406.80
  5. Step 5: Solve for x
    x = 96,406.80/450.79
  6. Step 6: Final answer
    x = 213.86

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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.