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Finding the Fourth Proportional to 286.02, 428.70 and 242.46

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Solution

The fourth proportional to 286.02, 428.70 and 242.46 is: 363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.02 : 428.70 = 242.46 : x
  2. Step 2: Convert to fraction form
    286.02/428.70 = 242.46/x
  3. Step 3: Cross multiply
    286.02x = 428.70 × 242.46
  4. Step 4: Simplify right side
    286.02x = 103,942.60
  5. Step 5: Solve for x
    x = 103,942.60/286.02
  6. Step 6: Final answer
    x = 363.41

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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.