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Finding the Fourth Proportional to 815.12, 1,222.29 and 294.98

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Solution

The fourth proportional to 815.12, 1,222.29 and 294.98 is: 442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.12 : 1,222.29 = 294.98 : x
  2. Step 2: Convert to fraction form
    815.12/1,222.29 = 294.98/x
  3. Step 3: Cross multiply
    815.12x = 1,222.29 × 294.98
  4. Step 4: Simplify right side
    815.12x = 360,544.99
  5. Step 5: Solve for x
    x = 360,544.99/815.12
  6. Step 6: Final answer
    x = 442.32

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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.