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Finding the Fourth Proportional to 402.38, 599.60 and 389.32

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Solution

The fourth proportional to 402.38, 599.60 and 389.32 is: 580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.38 : 599.60 = 389.32 : x
  2. Step 2: Convert to fraction form
    402.38/599.60 = 389.32/x
  3. Step 3: Cross multiply
    402.38x = 599.60 × 389.32
  4. Step 4: Simplify right side
    402.38x = 233,436.27
  5. Step 5: Solve for x
    x = 233,436.27/402.38
  6. Step 6: Final answer
    x = 580.14

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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.