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Finding the Fourth Proportional to 386.07, 577.80 and 294.23

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Solution

The fourth proportional to 386.07, 577.80 and 294.23 is: 440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.07 : 577.80 = 294.23 : x
  2. Step 2: Convert to fraction form
    386.07/577.80 = 294.23/x
  3. Step 3: Cross multiply
    386.07x = 577.80 × 294.23
  4. Step 4: Simplify right side
    386.07x = 170,007.54
  5. Step 5: Solve for x
    x = 170,007.54/386.07
  6. Step 6: Final answer
    x = 440.36

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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.