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Finding the Fourth Proportional to 150.54, 223.91 and 148.65

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Solution

The fourth proportional to 150.54, 223.91 and 148.65 is: 221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.54 : 223.91 = 148.65 : x
  2. Step 2: Convert to fraction form
    150.54/223.91 = 148.65/x
  3. Step 3: Cross multiply
    150.54x = 223.91 × 148.65
  4. Step 4: Simplify right side
    150.54x = 33,283.48
  5. Step 5: Solve for x
    x = 33,283.48/150.54
  6. Step 6: Final answer
    x = 221.09

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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.