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Finding the Fourth Proportional to 189.95, 261.87 and 145.67

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Solution

The fourth proportional to 189.95, 261.87 and 145.67 is: 200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.95 : 261.87 = 145.67 : x
  2. Step 2: Convert to fraction form
    189.95/261.87 = 145.67/x
  3. Step 3: Cross multiply
    189.95x = 261.87 × 145.67
  4. Step 4: Simplify right side
    189.95x = 38,146.60
  5. Step 5: Solve for x
    x = 38,146.60/189.95
  6. Step 6: Final answer
    x = 200.82

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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.