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Finding the Fourth Proportional to 219.63, 302.89 and 145.97

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Solution

The fourth proportional to 219.63, 302.89 and 145.97 is: 201.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.63 : 302.89 = 145.97 : x
  2. Step 2: Convert to fraction form
    219.63/302.89 = 145.97/x
  3. Step 3: Cross multiply
    219.63x = 302.89 × 145.97
  4. Step 4: Simplify right side
    219.63x = 44,212.38
  5. Step 5: Solve for x
    x = 44,212.38/219.63
  6. Step 6: Final answer
    x = 201.31

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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.