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Finding the Fourth Proportional to 536.20, 740.00 and 300.19

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Solution

The fourth proportional to 536.20, 740.00 and 300.19 is: 414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.20 : 740.00 = 300.19 : x
  2. Step 2: Convert to fraction form
    536.20/740.00 = 300.19/x
  3. Step 3: Cross multiply
    536.20x = 740.00 × 300.19
  4. Step 4: Simplify right side
    536.20x = 222,140.89
  5. Step 5: Solve for x
    x = 222,140.89/536.20
  6. Step 6: Final answer
    x = 414.28

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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.