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Finding the Fourth Proportional to 380.37, 521.12 and 365.79

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Solution

The fourth proportional to 380.37, 521.12 and 365.79 is: 501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.37 : 521.12 = 365.79 : x
  2. Step 2: Convert to fraction form
    380.37/521.12 = 365.79/x
  3. Step 3: Cross multiply
    380.37x = 521.12 × 365.79
  4. Step 4: Simplify right side
    380.37x = 190,618.66
  5. Step 5: Solve for x
    x = 190,618.66/380.37
  6. Step 6: Final answer
    x = 501.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.