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Finding the Fourth Proportional to 386.64, 582.75 and 363.06

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Solution

The fourth proportional to 386.64, 582.75 and 363.06 is: 547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.64 : 582.75 = 363.06 : x
  2. Step 2: Convert to fraction form
    386.64/582.75 = 363.06/x
  3. Step 3: Cross multiply
    386.64x = 582.75 × 363.06
  4. Step 4: Simplify right side
    386.64x = 211,573.22
  5. Step 5: Solve for x
    x = 211,573.22/386.64
  6. Step 6: Final answer
    x = 547.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.