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Finding the Fourth Proportional to 386.38, 529.94 and 365.46

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Solution

The fourth proportional to 386.38, 529.94 and 365.46 is: 501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.38 : 529.94 = 365.46 : x
  2. Step 2: Convert to fraction form
    386.38/529.94 = 365.46/x
  3. Step 3: Cross multiply
    386.38x = 529.94 × 365.46
  4. Step 4: Simplify right side
    386.38x = 193,671.87
  5. Step 5: Solve for x
    x = 193,671.87/386.38
  6. Step 6: Final answer
    x = 501.25

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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.