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Finding the Fourth Proportional to 386.26, 532.26 and 287.80

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Solution

The fourth proportional to 386.26, 532.26 and 287.80 is: 396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.26 : 532.26 = 287.80 : x
  2. Step 2: Convert to fraction form
    386.26/532.26 = 287.80/x
  3. Step 3: Cross multiply
    386.26x = 532.26 × 287.80
  4. Step 4: Simplify right side
    386.26x = 153,184.43
  5. Step 5: Solve for x
    x = 153,184.43/386.26
  6. Step 6: Final answer
    x = 396.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.