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Finding the Fourth Proportional to 306.09, 456.59 and 287.46

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Solution

The fourth proportional to 306.09, 456.59 and 287.46 is: 428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.09 : 456.59 = 287.46 : x
  2. Step 2: Convert to fraction form
    306.09/456.59 = 287.46/x
  3. Step 3: Cross multiply
    306.09x = 456.59 × 287.46
  4. Step 4: Simplify right side
    306.09x = 131,252.08
  5. Step 5: Solve for x
    x = 131,252.08/306.09
  6. Step 6: Final answer
    x = 428.80

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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.