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Finding the Fourth Proportional to 814.95, 1,222.50 and 229.96

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Solution

The fourth proportional to 814.95, 1,222.50 and 229.96 is: 344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.95 : 1,222.50 = 229.96 : x
  2. Step 2: Convert to fraction form
    814.95/1,222.50 = 229.96/x
  3. Step 3: Cross multiply
    814.95x = 1,222.50 × 229.96
  4. Step 4: Simplify right side
    814.95x = 281,124.41
  5. Step 5: Solve for x
    x = 281,124.41/814.95
  6. Step 6: Final answer
    x = 344.96

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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.