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Finding the Fourth Proportional to 402.12, 599.23 and 389.08

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Solution

The fourth proportional to 402.12, 599.23 and 389.08 is: 579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.12 : 599.23 = 389.08 : x
  2. Step 2: Convert to fraction form
    402.12/599.23 = 389.08/x
  3. Step 3: Cross multiply
    402.12x = 599.23 × 389.08
  4. Step 4: Simplify right side
    402.12x = 233,148.41
  5. Step 5: Solve for x
    x = 233,148.41/402.12
  6. Step 6: Final answer
    x = 579.80

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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.