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Finding the Fourth Proportional to 150.02, 205.90 and 150.02

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Solution

The fourth proportional to 150.02, 205.90 and 150.02 is: 205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.02 : 205.90 = 150.02 : x
  2. Step 2: Convert to fraction form
    150.02/205.90 = 150.02/x
  3. Step 3: Cross multiply
    150.02x = 205.90 × 150.02
  4. Step 4: Simplify right side
    150.02x = 30,889.12
  5. Step 5: Solve for x
    x = 30,889.12/150.02
  6. Step 6: Final answer
    x = 205.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.