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Finding the Fourth Proportional to 455.66, 682.95 and 211.67

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Solution

The fourth proportional to 455.66, 682.95 and 211.67 is: 317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.66 : 682.95 = 211.67 : x
  2. Step 2: Convert to fraction form
    455.66/682.95 = 211.67/x
  3. Step 3: Cross multiply
    455.66x = 682.95 × 211.67
  4. Step 4: Simplify right side
    455.66x = 144,560.03
  5. Step 5: Solve for x
    x = 144,560.03/455.66
  6. Step 6: Final answer
    x = 317.25

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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.