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Finding the Fourth Proportional to 282.50, 421.86 and 220.94

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Solution

The fourth proportional to 282.50, 421.86 and 220.94 is: 329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.50 : 421.86 = 220.94 : x
  2. Step 2: Convert to fraction form
    282.50/421.86 = 220.94/x
  3. Step 3: Cross multiply
    282.50x = 421.86 × 220.94
  4. Step 4: Simplify right side
    282.50x = 93,206.05
  5. Step 5: Solve for x
    x = 93,206.05/282.50
  6. Step 6: Final answer
    x = 329.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.