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Finding the Fourth Proportional to 148.12, 205.27 and 145.24

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Solution

The fourth proportional to 148.12, 205.27 and 145.24 is: 201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.12 : 205.27 = 145.24 : x
  2. Step 2: Convert to fraction form
    148.12/205.27 = 145.24/x
  3. Step 3: Cross multiply
    148.12x = 205.27 × 145.24
  4. Step 4: Simplify right side
    148.12x = 29,813.41
  5. Step 5: Solve for x
    x = 29,813.41/148.12
  6. Step 6: Final answer
    x = 201.28

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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.