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Finding the Fourth Proportional to 599.94, 899.57 and 234.31

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Solution

The fourth proportional to 599.94, 899.57 and 234.31 is: 351.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.94 : 899.57 = 234.31 : x
  2. Step 2: Convert to fraction form
    599.94/899.57 = 234.31/x
  3. Step 3: Cross multiply
    599.94x = 899.57 × 234.31
  4. Step 4: Simplify right side
    599.94x = 210,772.58
  5. Step 5: Solve for x
    x = 210,772.58/599.94
  6. Step 6: Final answer
    x = 351.32

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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.