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Finding the Fourth Proportional to 150.32, 208.28 and 147.98

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Solution

The fourth proportional to 150.32, 208.28 and 147.98 is: 205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.32 : 208.28 = 147.98 : x
  2. Step 2: Convert to fraction form
    150.32/208.28 = 147.98/x
  3. Step 3: Cross multiply
    150.32x = 208.28 × 147.98
  4. Step 4: Simplify right side
    150.32x = 30,821.27
  5. Step 5: Solve for x
    x = 30,821.27/150.32
  6. Step 6: Final answer
    x = 205.04

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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.