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Finding the Fourth Proportional to 189.95, 283.79 and 183.57

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Solution

The fourth proportional to 189.95, 283.79 and 183.57 is: 274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.95 : 283.79 = 183.57 : x
  2. Step 2: Convert to fraction form
    189.95/283.79 = 183.57/x
  3. Step 3: Cross multiply
    189.95x = 283.79 × 183.57
  4. Step 4: Simplify right side
    189.95x = 52,095.33
  5. Step 5: Solve for x
    x = 52,095.33/189.95
  6. Step 6: Final answer
    x = 274.26

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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.