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Finding the Fourth Proportional to 842.62, 1,263.90 and 226.32

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Solution

The fourth proportional to 842.62, 1,263.90 and 226.32 is: 339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.62 : 1,263.90 = 226.32 : x
  2. Step 2: Convert to fraction form
    842.62/1,263.90 = 226.32/x
  3. Step 3: Cross multiply
    842.62x = 1,263.90 × 226.32
  4. Step 4: Simplify right side
    842.62x = 286,045.85
  5. Step 5: Solve for x
    x = 286,045.85/842.62
  6. Step 6: Final answer
    x = 339.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.