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Finding the Fourth Proportional to 357.41, 536.43 and 203.42

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Solution

The fourth proportional to 357.41, 536.43 and 203.42 is: 305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.41 : 536.43 = 203.42 : x
  2. Step 2: Convert to fraction form
    357.41/536.43 = 203.42/x
  3. Step 3: Cross multiply
    357.41x = 536.43 × 203.42
  4. Step 4: Simplify right side
    357.41x = 109,120.59
  5. Step 5: Solve for x
    x = 109,120.59/357.41
  6. Step 6: Final answer
    x = 305.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.