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Finding the Fourth Proportional to 147.05, 219.26 and 141.78

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Solution

The fourth proportional to 147.05, 219.26 and 141.78 is: 211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.05 : 219.26 = 141.78 : x
  2. Step 2: Convert to fraction form
    147.05/219.26 = 141.78/x
  3. Step 3: Cross multiply
    147.05x = 219.26 × 141.78
  4. Step 4: Simplify right side
    147.05x = 31,085.97
  5. Step 5: Solve for x
    x = 31,085.97/147.05
  6. Step 6: Final answer
    x = 211.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.