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Finding the Fourth Proportional to 219.07, 301.62 and 175.33

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Solution

The fourth proportional to 219.07, 301.62 and 175.33 is: 241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.07 : 301.62 = 175.33 : x
  2. Step 2: Convert to fraction form
    219.07/301.62 = 175.33/x
  3. Step 3: Cross multiply
    219.07x = 301.62 × 175.33
  4. Step 4: Simplify right side
    219.07x = 52,883.03
  5. Step 5: Solve for x
    x = 52,883.03/219.07
  6. Step 6: Final answer
    x = 241.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.