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Finding the Fourth Proportional to 148.84, 223.26 and 143.37

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Solution

The fourth proportional to 148.84, 223.26 and 143.37 is: 215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.84 : 223.26 = 143.37 : x
  2. Step 2: Convert to fraction form
    148.84/223.26 = 143.37/x
  3. Step 3: Cross multiply
    148.84x = 223.26 × 143.37
  4. Step 4: Simplify right side
    148.84x = 32,008.25
  5. Step 5: Solve for x
    x = 32,008.25/148.84
  6. Step 6: Final answer
    x = 215.06

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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.