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Finding the Fourth Proportional to 189.22, 260.78 and 145.66

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Solution

The fourth proportional to 189.22, 260.78 and 145.66 is: 200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.22 : 260.78 = 145.66 : x
  2. Step 2: Convert to fraction form
    189.22/260.78 = 145.66/x
  3. Step 3: Cross multiply
    189.22x = 260.78 × 145.66
  4. Step 4: Simplify right side
    189.22x = 37,985.21
  5. Step 5: Solve for x
    x = 37,985.21/189.22
  6. Step 6: Final answer
    x = 200.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.