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Finding the Fourth Proportional to 399.36, 599.48 and 235.02

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Solution

The fourth proportional to 399.36, 599.48 and 235.02 is: 352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.36 : 599.48 = 235.02 : x
  2. Step 2: Convert to fraction form
    399.36/599.48 = 235.02/x
  3. Step 3: Cross multiply
    399.36x = 599.48 × 235.02
  4. Step 4: Simplify right side
    399.36x = 140,889.79
  5. Step 5: Solve for x
    x = 140,889.79/399.36
  6. Step 6: Final answer
    x = 352.79

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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.