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Finding the Fourth Proportional to 299.06, 450.87 and 278.18

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Solution

The fourth proportional to 299.06, 450.87 and 278.18 is: 419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.06 : 450.87 = 278.18 : x
  2. Step 2: Convert to fraction form
    299.06/450.87 = 278.18/x
  3. Step 3: Cross multiply
    299.06x = 450.87 × 278.18
  4. Step 4: Simplify right side
    299.06x = 125,423.02
  5. Step 5: Solve for x
    x = 125,423.02/299.06
  6. Step 6: Final answer
    x = 419.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.