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Finding the Fourth Proportional to 302.87, 451.64 and 300.13

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Solution

The fourth proportional to 302.87, 451.64 and 300.13 is: 447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.87 : 451.64 = 300.13 : x
  2. Step 2: Convert to fraction form
    302.87/451.64 = 300.13/x
  3. Step 3: Cross multiply
    302.87x = 451.64 × 300.13
  4. Step 4: Simplify right side
    302.87x = 135,550.33
  5. Step 5: Solve for x
    x = 135,550.33/302.87
  6. Step 6: Final answer
    x = 447.55

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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.