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Finding the Fourth Proportional to 150.27, 223.92 and 145.37

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Solution

The fourth proportional to 150.27, 223.92 and 145.37 is: 216.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.27 : 223.92 = 145.37 : x
  2. Step 2: Convert to fraction form
    150.27/223.92 = 145.37/x
  3. Step 3: Cross multiply
    150.27x = 223.92 × 145.37
  4. Step 4: Simplify right side
    150.27x = 32,551.25
  5. Step 5: Solve for x
    x = 32,551.25/150.27
  6. Step 6: Final answer
    x = 216.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.