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Finding the Fourth Proportional to 150.99, 225.13 and 148.26

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Solution

The fourth proportional to 150.99, 225.13 and 148.26 is: 221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.99 : 225.13 = 148.26 : x
  2. Step 2: Convert to fraction form
    150.99/225.13 = 148.26/x
  3. Step 3: Cross multiply
    150.99x = 225.13 × 148.26
  4. Step 4: Simplify right side
    150.99x = 33,377.58
  5. Step 5: Solve for x
    x = 33,377.58/150.99
  6. Step 6: Final answer
    x = 221.05

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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.