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Finding the Fourth Proportional to 150.74, 225.76 and 85.64

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Solution

The fourth proportional to 150.74, 225.76 and 85.64 is: 128.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.74 : 225.76 = 85.64 : x
  2. Step 2: Convert to fraction form
    150.74/225.76 = 85.64/x
  3. Step 3: Cross multiply
    150.74x = 225.76 × 85.64
  4. Step 4: Simplify right side
    150.74x = 19,334.09
  5. Step 5: Solve for x
    x = 19,334.09/150.74
  6. Step 6: Final answer
    x = 128.26

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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.