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Finding the Fourth Proportional to 820.00, 1,230.05 and 242.92

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Solution

The fourth proportional to 820.00, 1,230.05 and 242.92 is: 364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.00 : 1,230.05 = 242.92 : x
  2. Step 2: Convert to fraction form
    820.00/1,230.05 = 242.92/x
  3. Step 3: Cross multiply
    820.00x = 1,230.05 × 242.92
  4. Step 4: Simplify right side
    820.00x = 298,799.46
  5. Step 5: Solve for x
    x = 298,799.46/820.00
  6. Step 6: Final answer
    x = 364.39

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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.