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Finding the Fourth Proportional to 402.21, 599.56 and 397.89

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Solution

The fourth proportional to 402.21, 599.56 and 397.89 is: 593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.21 : 599.56 = 397.89 : x
  2. Step 2: Convert to fraction form
    402.21/599.56 = 397.89/x
  3. Step 3: Cross multiply
    402.21x = 599.56 × 397.89
  4. Step 4: Simplify right side
    402.21x = 238,558.93
  5. Step 5: Solve for x
    x = 238,558.93/402.21
  6. Step 6: Final answer
    x = 593.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.