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Finding the Fourth Proportional to 455.08, 681.80 and 211.18

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Solution

The fourth proportional to 455.08, 681.80 and 211.18 is: 316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.08 : 681.80 = 211.18 : x
  2. Step 2: Convert to fraction form
    455.08/681.80 = 211.18/x
  3. Step 3: Cross multiply
    455.08x = 681.80 × 211.18
  4. Step 4: Simplify right side
    455.08x = 143,979.64
  5. Step 5: Solve for x
    x = 143,979.64/455.08
  6. Step 6: Final answer
    x = 316.39

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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.