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Finding the Fourth Proportional to 402.09, 599.07 and 377.25

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Solution

The fourth proportional to 402.09, 599.07 and 377.25 is: 562.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.09 : 599.07 = 377.25 : x
  2. Step 2: Convert to fraction form
    402.09/599.07 = 377.25/x
  3. Step 3: Cross multiply
    402.09x = 599.07 × 377.25
  4. Step 4: Simplify right side
    402.09x = 225,999.16
  5. Step 5: Solve for x
    x = 225,999.16/402.09
  6. Step 6: Final answer
    x = 562.06

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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.