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Finding the Fourth Proportional to 536.20, 738.96 and 388.60

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Solution

The fourth proportional to 536.20, 738.96 and 388.60 is: 535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.20 : 738.96 = 388.60 : x
  2. Step 2: Convert to fraction form
    536.20/738.96 = 388.60/x
  3. Step 3: Cross multiply
    536.20x = 738.96 × 388.60
  4. Step 4: Simplify right side
    536.20x = 287,159.86
  5. Step 5: Solve for x
    x = 287,159.86/536.20
  6. Step 6: Final answer
    x = 535.55

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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.