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Finding the Fourth Proportional to 219.78, 329.47 and 142.77

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Solution

The fourth proportional to 219.78, 329.47 and 142.77 is: 214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.78 : 329.47 = 142.77 : x
  2. Step 2: Convert to fraction form
    219.78/329.47 = 142.77/x
  3. Step 3: Cross multiply
    219.78x = 329.47 × 142.77
  4. Step 4: Simplify right side
    219.78x = 47,038.43
  5. Step 5: Solve for x
    x = 47,038.43/219.78
  6. Step 6: Final answer
    x = 214.03

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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.