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Finding the Fourth Proportional to 450.91, 675.64 and 255.66

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Solution

The fourth proportional to 450.91, 675.64 and 255.66 is: 383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.91 : 675.64 = 255.66 : x
  2. Step 2: Convert to fraction form
    450.91/675.64 = 255.66/x
  3. Step 3: Cross multiply
    450.91x = 675.64 × 255.66
  4. Step 4: Simplify right side
    450.91x = 172,734.12
  5. Step 5: Solve for x
    x = 172,734.12/450.91
  6. Step 6: Final answer
    x = 383.08

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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.