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Finding the Fourth Proportional to 189.17, 281.95 and 183.57

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Solution

The fourth proportional to 189.17, 281.95 and 183.57 is: 273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.17 : 281.95 = 183.57 : x
  2. Step 2: Convert to fraction form
    189.17/281.95 = 183.57/x
  3. Step 3: Cross multiply
    189.17x = 281.95 × 183.57
  4. Step 4: Simplify right side
    189.17x = 51,756.05
  5. Step 5: Solve for x
    x = 51,756.05/189.17
  6. Step 6: Final answer
    x = 273.60

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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.