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Finding the Fourth Proportional to 536.26, 740.02 and 300.20

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Solution

The fourth proportional to 536.26, 740.02 and 300.20 is: 414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.26 : 740.02 = 300.20 : x
  2. Step 2: Convert to fraction form
    536.26/740.02 = 300.20/x
  3. Step 3: Cross multiply
    536.26x = 740.02 × 300.20
  4. Step 4: Simplify right side
    536.26x = 222,154.00
  5. Step 5: Solve for x
    x = 222,154.00/536.26
  6. Step 6: Final answer
    x = 414.27

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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.