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Finding the Fourth Proportional to 150.48, 225.60 and 102.48

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Solution

The fourth proportional to 150.48, 225.60 and 102.48 is: 153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.48 : 225.60 = 102.48 : x
  2. Step 2: Convert to fraction form
    150.48/225.60 = 102.48/x
  3. Step 3: Cross multiply
    150.48x = 225.60 × 102.48
  4. Step 4: Simplify right side
    150.48x = 23,119.49
  5. Step 5: Solve for x
    x = 23,119.49/150.48
  6. Step 6: Final answer
    x = 153.64

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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.