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Finding the Fourth Proportional to 536.46, 740.21 and 300.39

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Solution

The fourth proportional to 536.46, 740.21 and 300.39 is: 414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.46 : 740.21 = 300.39 : x
  2. Step 2: Convert to fraction form
    536.46/740.21 = 300.39/x
  3. Step 3: Cross multiply
    536.46x = 740.21 × 300.39
  4. Step 4: Simplify right side
    536.46x = 222,351.68
  5. Step 5: Solve for x
    x = 222,351.68/536.46
  6. Step 6: Final answer
    x = 414.48

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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.