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Finding the Fourth Proportional to 150.98, 206.51 and 150.36

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Solution

The fourth proportional to 150.98, 206.51 and 150.36 is: 205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.98 : 206.51 = 150.36 : x
  2. Step 2: Convert to fraction form
    150.98/206.51 = 150.36/x
  3. Step 3: Cross multiply
    150.98x = 206.51 × 150.36
  4. Step 4: Simplify right side
    150.98x = 31,050.09
  5. Step 5: Solve for x
    x = 31,050.09/150.98
  6. Step 6: Final answer
    x = 205.66

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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.