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Finding the Fourth Proportional to 150.37, 226.58 and 123.91

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Solution

The fourth proportional to 150.37, 226.58 and 123.91 is: 186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.37 : 226.58 = 123.91 : x
  2. Step 2: Convert to fraction form
    150.37/226.58 = 123.91/x
  3. Step 3: Cross multiply
    150.37x = 226.58 × 123.91
  4. Step 4: Simplify right side
    150.37x = 28,075.53
  5. Step 5: Solve for x
    x = 28,075.53/150.37
  6. Step 6: Final answer
    x = 186.71

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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.