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Finding the Fourth Proportional to 386.05, 577.74 and 294.23

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Solution

The fourth proportional to 386.05, 577.74 and 294.23 is: 440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.05 : 577.74 = 294.23 : x
  2. Step 2: Convert to fraction form
    386.05/577.74 = 294.23/x
  3. Step 3: Cross multiply
    386.05x = 577.74 × 294.23
  4. Step 4: Simplify right side
    386.05x = 169,988.44
  5. Step 5: Solve for x
    x = 169,988.44/386.05
  6. Step 6: Final answer
    x = 440.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.