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Finding the Fourth Proportional to 189.64, 282.02 and 183.56

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Solution

The fourth proportional to 189.64, 282.02 and 183.56 is: 272.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.64 : 282.02 = 183.56 : x
  2. Step 2: Convert to fraction form
    189.64/282.02 = 183.56/x
  3. Step 3: Cross multiply
    189.64x = 282.02 × 183.56
  4. Step 4: Simplify right side
    189.64x = 51,766.67
  5. Step 5: Solve for x
    x = 51,766.67/189.64
  6. Step 6: Final answer
    x = 272.98

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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.