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Finding the Fourth Proportional to 386.82, 534.13 and 369.20

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Solution

The fourth proportional to 386.82, 534.13 and 369.20 is: 509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.82 : 534.13 = 369.20 : x
  2. Step 2: Convert to fraction form
    386.82/534.13 = 369.20/x
  3. Step 3: Cross multiply
    386.82x = 534.13 × 369.20
  4. Step 4: Simplify right side
    386.82x = 197,201.21
  5. Step 5: Solve for x
    x = 197,201.21/386.82
  6. Step 6: Final answer
    x = 509.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.