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Finding the Fourth Proportional to 220.45, 304 and 145.65

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Solution

The fourth proportional to 220.45, 304 and 145.65 is: 200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.45 : 304 = 145.65 : x
  2. Step 2: Convert to fraction form
    220.45/304 = 145.65/x
  3. Step 3: Cross multiply
    220.45x = 304 × 145.65
  4. Step 4: Simplify right side
    220.45x = 44,277.60
  5. Step 5: Solve for x
    x = 44,277.60/220.45
  6. Step 6: Final answer
    x = 200.85

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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.