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Finding the Fourth Proportional to 599.98, 900.31 and 234.75

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Solution

The fourth proportional to 599.98, 900.31 and 234.75 is: 352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.98 : 900.31 = 234.75 : x
  2. Step 2: Convert to fraction form
    599.98/900.31 = 234.75/x
  3. Step 3: Cross multiply
    599.98x = 900.31 × 234.75
  4. Step 4: Simplify right side
    599.98x = 211,343.27
  5. Step 5: Solve for x
    x = 211,343.27/599.98
  6. Step 6: Final answer
    x = 352.25

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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.