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Finding the Fourth Proportional to 823.61, 1,235.36 and 207.32

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Solution

The fourth proportional to 823.61, 1,235.36 and 207.32 is: 310.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.61 : 1,235.36 = 207.32 : x
  2. Step 2: Convert to fraction form
    823.61/1,235.36 = 207.32/x
  3. Step 3: Cross multiply
    823.61x = 1,235.36 × 207.32
  4. Step 4: Simplify right side
    823.61x = 256,107.62
  5. Step 5: Solve for x
    x = 256,107.62/823.61
  6. Step 6: Final answer
    x = 310.96

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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.