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Finding the Fourth Proportional to 536.70, 741.11 and 340.56

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Solution

The fourth proportional to 536.70, 741.11 and 340.56 is: 470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.70 : 741.11 = 340.56 : x
  2. Step 2: Convert to fraction form
    536.70/741.11 = 340.56/x
  3. Step 3: Cross multiply
    536.70x = 741.11 × 340.56
  4. Step 4: Simplify right side
    536.70x = 252,392.42
  5. Step 5: Solve for x
    x = 252,392.42/536.70
  6. Step 6: Final answer
    x = 470.27

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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.