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Finding the Fourth Proportional to 386.29, 578.73 and 255.98

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Solution

The fourth proportional to 386.29, 578.73 and 255.98 is: 383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.29 : 578.73 = 255.98 : x
  2. Step 2: Convert to fraction form
    386.29/578.73 = 255.98/x
  3. Step 3: Cross multiply
    386.29x = 578.73 × 255.98
  4. Step 4: Simplify right side
    386.29x = 148,140.41
  5. Step 5: Solve for x
    x = 148,140.41/386.29
  6. Step 6: Final answer
    x = 383.50

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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.