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Finding the Fourth Proportional to 148.14, 223.01 and 114.09

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Solution

The fourth proportional to 148.14, 223.01 and 114.09 is: 171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.14 : 223.01 = 114.09 : x
  2. Step 2: Convert to fraction form
    148.14/223.01 = 114.09/x
  3. Step 3: Cross multiply
    148.14x = 223.01 × 114.09
  4. Step 4: Simplify right side
    148.14x = 25,442.64
  5. Step 5: Solve for x
    x = 25,442.64/148.14
  6. Step 6: Final answer
    x = 171.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.