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Finding the Fourth Proportional to 203.46, 303.71 and 188.42

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Solution

The fourth proportional to 203.46, 303.71 and 188.42 is: 281.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.46 : 303.71 = 188.42 : x
  2. Step 2: Convert to fraction form
    203.46/303.71 = 188.42/x
  3. Step 3: Cross multiply
    203.46x = 303.71 × 188.42
  4. Step 4: Simplify right side
    203.46x = 57,225.04
  5. Step 5: Solve for x
    x = 57,225.04/203.46
  6. Step 6: Final answer
    x = 281.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.