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Finding the Fourth Proportional to 399.05, 597.67 and 358.96

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Solution

The fourth proportional to 399.05, 597.67 and 358.96 is: 537.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.05 : 597.67 = 358.96 : x
  2. Step 2: Convert to fraction form
    399.05/597.67 = 358.96/x
  3. Step 3: Cross multiply
    399.05x = 597.67 × 358.96
  4. Step 4: Simplify right side
    399.05x = 214,537.23
  5. Step 5: Solve for x
    x = 214,537.23/399.05
  6. Step 6: Final answer
    x = 537.62

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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.