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Finding the Fourth Proportional to 150.21, 225.34 and 42.00

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Solution

The fourth proportional to 150.21, 225.34 and 42.00 is: 63.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.21 : 225.34 = 42.00 : x
  2. Step 2: Convert to fraction form
    150.21/225.34 = 42.00/x
  3. Step 3: Cross multiply
    150.21x = 225.34 × 42.00
  4. Step 4: Simplify right side
    150.21x = 9,464.73
  5. Step 5: Solve for x
    x = 9,464.73/150.21
  6. Step 6: Final answer
    x = 63.01

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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.