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Finding the Fourth Proportional to 455.71, 683.30 and 224.09

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Solution

The fourth proportional to 455.71, 683.30 and 224.09 is: 336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.71 : 683.30 = 224.09 : x
  2. Step 2: Convert to fraction form
    455.71/683.30 = 224.09/x
  3. Step 3: Cross multiply
    455.71x = 683.30 × 224.09
  4. Step 4: Simplify right side
    455.71x = 153,119.58
  5. Step 5: Solve for x
    x = 153,119.58/455.71
  6. Step 6: Final answer
    x = 336.01

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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.