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Finding the Fourth Proportional to 402.10, 599.77 and 365.19

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Solution

The fourth proportional to 402.10, 599.77 and 365.19 is: 544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.10 : 599.77 = 365.19 : x
  2. Step 2: Convert to fraction form
    402.10/599.77 = 365.19/x
  3. Step 3: Cross multiply
    402.10x = 599.77 × 365.19
  4. Step 4: Simplify right side
    402.10x = 219,026.16
  5. Step 5: Solve for x
    x = 219,026.16/402.10
  6. Step 6: Final answer
    x = 544.71

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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.