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Finding the Fourth Proportional to 189.41, 260.25 and 150.53

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Solution

The fourth proportional to 189.41, 260.25 and 150.53 is: 206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.41 : 260.25 = 150.53 : x
  2. Step 2: Convert to fraction form
    189.41/260.25 = 150.53/x
  3. Step 3: Cross multiply
    189.41x = 260.25 × 150.53
  4. Step 4: Simplify right side
    189.41x = 39,173.57
  5. Step 5: Solve for x
    x = 39,173.57/189.41
  6. Step 6: Final answer
    x = 206.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.