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Finding the Fourth Proportional to 305.13, 454.79 and 287.37

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Solution

The fourth proportional to 305.13, 454.79 and 287.37 is: 428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.13 : 454.79 = 287.37 : x
  2. Step 2: Convert to fraction form
    305.13/454.79 = 287.37/x
  3. Step 3: Cross multiply
    305.13x = 454.79 × 287.37
  4. Step 4: Simplify right side
    305.13x = 130,694.14
  5. Step 5: Solve for x
    x = 130,694.14/305.13
  6. Step 6: Final answer
    x = 428.33

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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.