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Finding the Fourth Proportional to 189.90, 286.88 and 189.18

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Solution

The fourth proportional to 189.90, 286.88 and 189.18 is: 285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.90 : 286.88 = 189.18 : x
  2. Step 2: Convert to fraction form
    189.90/286.88 = 189.18/x
  3. Step 3: Cross multiply
    189.90x = 286.88 × 189.18
  4. Step 4: Simplify right side
    189.90x = 54,271.01
  5. Step 5: Solve for x
    x = 54,271.01/189.90
  6. Step 6: Final answer
    x = 285.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.