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Finding the Fourth Proportional to 150.37, 225.97 and 78.28

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Solution

The fourth proportional to 150.37, 225.97 and 78.28 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.37 : 225.97 = 78.28 : x
  2. Step 2: Convert to fraction form
    150.37/225.97 = 78.28/x
  3. Step 3: Cross multiply
    150.37x = 225.97 × 78.28
  4. Step 4: Simplify right side
    150.37x = 17,688.17
  5. Step 5: Solve for x
    x = 17,688.17/150.37
  6. Step 6: Final answer
    x = 117.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.