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Finding the Fourth Proportional to 147.80, 223.03 and 142.44

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Solution

The fourth proportional to 147.80, 223.03 and 142.44 is: 214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.80 : 223.03 = 142.44 : x
  2. Step 2: Convert to fraction form
    147.80/223.03 = 142.44/x
  3. Step 3: Cross multiply
    147.80x = 223.03 × 142.44
  4. Step 4: Simplify right side
    147.80x = 31,768.39
  5. Step 5: Solve for x
    x = 31,768.39/147.80
  6. Step 6: Final answer
    x = 214.94

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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.