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Finding the Fourth Proportional to 189.07, 281.88 and 184.25

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Solution

The fourth proportional to 189.07, 281.88 and 184.25 is: 274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.07 : 281.88 = 184.25 : x
  2. Step 2: Convert to fraction form
    189.07/281.88 = 184.25/x
  3. Step 3: Cross multiply
    189.07x = 281.88 × 184.25
  4. Step 4: Simplify right side
    189.07x = 51,937.09
  5. Step 5: Solve for x
    x = 51,937.09/189.07
  6. Step 6: Final answer
    x = 274.70

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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.