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Finding the Fourth Proportional to 148.59, 222.78 and 142.65

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Solution

The fourth proportional to 148.59, 222.78 and 142.65 is: 213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.59 : 222.78 = 142.65 : x
  2. Step 2: Convert to fraction form
    148.59/222.78 = 142.65/x
  3. Step 3: Cross multiply
    148.59x = 222.78 × 142.65
  4. Step 4: Simplify right side
    148.59x = 31,779.57
  5. Step 5: Solve for x
    x = 31,779.57/148.59
  6. Step 6: Final answer
    x = 213.87

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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.