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Finding the Fourth Proportional to 605.07, 906.90 and 214.95

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Solution

The fourth proportional to 605.07, 906.90 and 214.95 is: 322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.07 : 906.90 = 214.95 : x
  2. Step 2: Convert to fraction form
    605.07/906.90 = 214.95/x
  3. Step 3: Cross multiply
    605.07x = 906.90 × 214.95
  4. Step 4: Simplify right side
    605.07x = 194,940.75
  5. Step 5: Solve for x
    x = 194,940.75/605.07
  6. Step 6: Final answer
    x = 322.18

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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.