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Finding the Fourth Proportional to 301.00, 450.80 and 170.72

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Solution

The fourth proportional to 301.00, 450.80 and 170.72 is: 255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.00 : 450.80 = 170.72 : x
  2. Step 2: Convert to fraction form
    301.00/450.80 = 170.72/x
  3. Step 3: Cross multiply
    301.00x = 450.80 × 170.72
  4. Step 4: Simplify right side
    301.00x = 76,962.33
  5. Step 5: Solve for x
    x = 76,962.33/301.00
  6. Step 6: Final answer
    x = 255.69

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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.