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Finding the Fourth Proportional to 820, 1,230.24 and 242.89

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Solution

The fourth proportional to 820, 1,230.24 and 242.89 is: 364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    820 : 1,230.24 = 242.89 : x
  2. Step 2: Convert to fraction form
    820/1,230.24 = 242.89/x
  3. Step 3: Cross multiply
    820x = 1,230.24 × 242.89
  4. Step 4: Simplify right side
    820x = 298,812.99
  5. Step 5: Solve for x
    x = 298,812.99/820
  6. Step 6: Final answer
    x = 364.41

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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.