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Finding the Fourth Proportional to 299.65, 448.96 and 260.70

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Solution

The fourth proportional to 299.65, 448.96 and 260.70 is: 390.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.65 : 448.96 = 260.70 : x
  2. Step 2: Convert to fraction form
    299.65/448.96 = 260.70/x
  3. Step 3: Cross multiply
    299.65x = 448.96 × 260.70
  4. Step 4: Simplify right side
    299.65x = 117,043.87
  5. Step 5: Solve for x
    x = 117,043.87/299.65
  6. Step 6: Final answer
    x = 390.60

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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.