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Finding the Fourth Proportional to 599.58, 899.31 and 229.35

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Solution

The fourth proportional to 599.58, 899.31 and 229.35 is: 344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.58 : 899.31 = 229.35 : x
  2. Step 2: Convert to fraction form
    599.58/899.31 = 229.35/x
  3. Step 3: Cross multiply
    599.58x = 899.31 × 229.35
  4. Step 4: Simplify right side
    599.58x = 206,256.75
  5. Step 5: Solve for x
    x = 206,256.75/599.58
  6. Step 6: Final answer
    x = 344.00

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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.