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Finding the Fourth Proportional to 536.84, 740.85 and 300.80

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Solution

The fourth proportional to 536.84, 740.85 and 300.80 is: 415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.84 : 740.85 = 300.80 : x
  2. Step 2: Convert to fraction form
    536.84/740.85 = 300.80/x
  3. Step 3: Cross multiply
    536.84x = 740.85 × 300.80
  4. Step 4: Simplify right side
    536.84x = 222,843.98
  5. Step 5: Solve for x
    x = 222,843.98/536.84
  6. Step 6: Final answer
    x = 415.10

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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.