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Finding the Fourth Proportional to 148.23, 205.74 and 142.29

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Solution

The fourth proportional to 148.23, 205.74 and 142.29 is: 197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.23 : 205.74 = 142.29 : x
  2. Step 2: Convert to fraction form
    148.23/205.74 = 142.29/x
  3. Step 3: Cross multiply
    148.23x = 205.74 × 142.29
  4. Step 4: Simplify right side
    148.23x = 29,274.74
  5. Step 5: Solve for x
    x = 29,274.74/148.23
  6. Step 6: Final answer
    x = 197.50

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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.