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Finding the Fourth Proportional to 386.02, 578.72 and 193.78

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Solution

The fourth proportional to 386.02, 578.72 and 193.78 is: 290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.02 : 578.72 = 193.78 : x
  2. Step 2: Convert to fraction form
    386.02/578.72 = 193.78/x
  3. Step 3: Cross multiply
    386.02x = 578.72 × 193.78
  4. Step 4: Simplify right side
    386.02x = 112,144.36
  5. Step 5: Solve for x
    x = 112,144.36/386.02
  6. Step 6: Final answer
    x = 290.51

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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.