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Finding the Fourth Proportional to 386.94, 577.05 and 365.37

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Solution

The fourth proportional to 386.94, 577.05 and 365.37 is: 544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.94 : 577.05 = 365.37 : x
  2. Step 2: Convert to fraction form
    386.94/577.05 = 365.37/x
  3. Step 3: Cross multiply
    386.94x = 577.05 × 365.37
  4. Step 4: Simplify right side
    386.94x = 210,836.76
  5. Step 5: Solve for x
    x = 210,836.76/386.94
  6. Step 6: Final answer
    x = 544.88

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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.