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Finding the Fourth Proportional to 399.63, 598.89 and 235.14

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Solution

The fourth proportional to 399.63, 598.89 and 235.14 is: 352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.63 : 598.89 = 235.14 : x
  2. Step 2: Convert to fraction form
    399.63/598.89 = 235.14/x
  3. Step 3: Cross multiply
    399.63x = 598.89 × 235.14
  4. Step 4: Simplify right side
    399.63x = 140,821.63
  5. Step 5: Solve for x
    x = 140,821.63/399.63
  6. Step 6: Final answer
    x = 352.38

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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.