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Finding the Fourth Proportional to 815.18, 1,222.62 and 230.04

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Solution

The fourth proportional to 815.18, 1,222.62 and 230.04 is: 345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.18 : 1,222.62 = 230.04 : x
  2. Step 2: Convert to fraction form
    815.18/1,222.62 = 230.04/x
  3. Step 3: Cross multiply
    815.18x = 1,222.62 × 230.04
  4. Step 4: Simplify right side
    815.18x = 281,252.08
  5. Step 5: Solve for x
    x = 281,252.08/815.18
  6. Step 6: Final answer
    x = 345.02

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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.