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Finding the Fourth Proportional to 220.47, 331.02 and 184.65

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Solution

The fourth proportional to 220.47, 331.02 and 184.65 is: 277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.47 : 331.02 = 184.65 : x
  2. Step 2: Convert to fraction form
    220.47/331.02 = 184.65/x
  3. Step 3: Cross multiply
    220.47x = 331.02 × 184.65
  4. Step 4: Simplify right side
    220.47x = 61,122.84
  5. Step 5: Solve for x
    x = 61,122.84/220.47
  6. Step 6: Final answer
    x = 277.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.