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Finding the Fourth Proportional to 299.60, 420.40 and 299.60

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Solution

The fourth proportional to 299.60, 420.40 and 299.60 is: 420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.60 : 420.40 = 299.60 : x
  2. Step 2: Convert to fraction form
    299.60/420.40 = 299.60/x
  3. Step 3: Cross multiply
    299.60x = 420.40 × 299.60
  4. Step 4: Simplify right side
    299.60x = 125,951.84
  5. Step 5: Solve for x
    x = 125,951.84/299.60
  6. Step 6: Final answer
    x = 420.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.