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Finding the Fourth Proportional to 306.73, 456.89 and 305.65

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Solution

The fourth proportional to 306.73, 456.89 and 305.65 is: 455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.73 : 456.89 = 305.65 : x
  2. Step 2: Convert to fraction form
    306.73/456.89 = 305.65/x
  3. Step 3: Cross multiply
    306.73x = 456.89 × 305.65
  4. Step 4: Simplify right side
    306.73x = 139,648.43
  5. Step 5: Solve for x
    x = 139,648.43/306.73
  6. Step 6: Final answer
    x = 455.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.