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Finding the Fourth Proportional to 150.30, 205.98 and 150.06

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Solution

The fourth proportional to 150.30, 205.98 and 150.06 is: 205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.30 : 205.98 = 150.06 : x
  2. Step 2: Convert to fraction form
    150.30/205.98 = 150.06/x
  3. Step 3: Cross multiply
    150.30x = 205.98 × 150.06
  4. Step 4: Simplify right side
    150.30x = 30,909.36
  5. Step 5: Solve for x
    x = 30,909.36/150.30
  6. Step 6: Final answer
    x = 205.65

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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.