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Finding the Fourth Proportional to 605.42, 908.53 and 215.42

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Solution

The fourth proportional to 605.42, 908.53 and 215.42 is: 323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.42 : 908.53 = 215.42 : x
  2. Step 2: Convert to fraction form
    605.42/908.53 = 215.42/x
  3. Step 3: Cross multiply
    605.42x = 908.53 × 215.42
  4. Step 4: Simplify right side
    605.42x = 195,715.53
  5. Step 5: Solve for x
    x = 195,715.53/605.42
  6. Step 6: Final answer
    x = 323.27

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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.