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Finding the Fourth Proportional to 299.55, 450.36 and 277.01

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Solution

The fourth proportional to 299.55, 450.36 and 277.01 is: 416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.55 : 450.36 = 277.01 : x
  2. Step 2: Convert to fraction form
    299.55/450.36 = 277.01/x
  3. Step 3: Cross multiply
    299.55x = 450.36 × 277.01
  4. Step 4: Simplify right side
    299.55x = 124,753.66
  5. Step 5: Solve for x
    x = 124,753.66/299.55
  6. Step 6: Final answer
    x = 416.47

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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.