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Finding the Fourth Proportional to 386.07, 578.42 and 203.59

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Solution

The fourth proportional to 386.07, 578.42 and 203.59 is: 305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.07 : 578.42 = 203.59 : x
  2. Step 2: Convert to fraction form
    386.07/578.42 = 203.59/x
  3. Step 3: Cross multiply
    386.07x = 578.42 × 203.59
  4. Step 4: Simplify right side
    386.07x = 117,761.76
  5. Step 5: Solve for x
    x = 117,761.76/386.07
  6. Step 6: Final answer
    x = 305.03

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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.