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Finding the Fourth Proportional to 450.95, 675.22 and 265.70

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Solution

The fourth proportional to 450.95, 675.22 and 265.70 is: 397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.95 : 675.22 = 265.70 : x
  2. Step 2: Convert to fraction form
    450.95/675.22 = 265.70/x
  3. Step 3: Cross multiply
    450.95x = 675.22 × 265.70
  4. Step 4: Simplify right side
    450.95x = 179,405.95
  5. Step 5: Solve for x
    x = 179,405.95/450.95
  6. Step 6: Final answer
    x = 397.84

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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.