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Finding the Fourth Proportional to 189.20, 265.60 and 189.20

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Solution

The fourth proportional to 189.20, 265.60 and 189.20 is: 265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.20 : 265.60 = 189.20 : x
  2. Step 2: Convert to fraction form
    189.20/265.60 = 189.20/x
  3. Step 3: Cross multiply
    189.20x = 265.60 × 189.20
  4. Step 4: Simplify right side
    189.20x = 50,251.52
  5. Step 5: Solve for x
    x = 50,251.52/189.20
  6. Step 6: Final answer
    x = 265.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.