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Finding the Fourth Proportional to 455.76, 683.39 and 212.06

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Solution

The fourth proportional to 455.76, 683.39 and 212.06 is: 317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.76 : 683.39 = 212.06 : x
  2. Step 2: Convert to fraction form
    455.76/683.39 = 212.06/x
  3. Step 3: Cross multiply
    455.76x = 683.39 × 212.06
  4. Step 4: Simplify right side
    455.76x = 144,921.92
  5. Step 5: Solve for x
    x = 144,921.92/455.76
  6. Step 6: Final answer
    x = 317.98

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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.