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Finding the Fourth Proportional to 150.08, 208.04 and 147.12

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Solution

The fourth proportional to 150.08, 208.04 and 147.12 is: 203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.08 : 208.04 = 147.12 : x
  2. Step 2: Convert to fraction form
    150.08/208.04 = 147.12/x
  3. Step 3: Cross multiply
    150.08x = 208.04 × 147.12
  4. Step 4: Simplify right side
    150.08x = 30,606.84
  5. Step 5: Solve for x
    x = 30,606.84/150.08
  6. Step 6: Final answer
    x = 203.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.