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Finding the Fourth Proportional to 455.36, 681.62 and 299.00

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Solution

The fourth proportional to 455.36, 681.62 and 299.00 is: 447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.36 : 681.62 = 299.00 : x
  2. Step 2: Convert to fraction form
    455.36/681.62 = 299.00/x
  3. Step 3: Cross multiply
    455.36x = 681.62 × 299.00
  4. Step 4: Simplify right side
    455.36x = 203,802.67
  5. Step 5: Solve for x
    x = 203,802.67/455.36
  6. Step 6: Final answer
    x = 447.57

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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.