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Finding the Fourth Proportional to 148.57, 222.31 and 130.75

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Solution

The fourth proportional to 148.57, 222.31 and 130.75 is: 195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.57 : 222.31 = 130.75 : x
  2. Step 2: Convert to fraction form
    148.57/222.31 = 130.75/x
  3. Step 3: Cross multiply
    148.57x = 222.31 × 130.75
  4. Step 4: Simplify right side
    148.57x = 29,065.27
  5. Step 5: Solve for x
    x = 29,065.27/148.57
  6. Step 6: Final answer
    x = 195.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.