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Finding the Fourth Proportional to 219.80, 301.54 and 214.05

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Solution

The fourth proportional to 219.80, 301.54 and 214.05 is: 293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.80 : 301.54 = 214.05 : x
  2. Step 2: Convert to fraction form
    219.80/301.54 = 214.05/x
  3. Step 3: Cross multiply
    219.80x = 301.54 × 214.05
  4. Step 4: Simplify right side
    219.80x = 64,544.64
  5. Step 5: Solve for x
    x = 64,544.64/219.80
  6. Step 6: Final answer
    x = 293.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.