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Finding the Fourth Proportional to 465.77, 643.11 and 300.08

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Solution

The fourth proportional to 465.77, 643.11 and 300.08 is: 414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.77 : 643.11 = 300.08 : x
  2. Step 2: Convert to fraction form
    465.77/643.11 = 300.08/x
  3. Step 3: Cross multiply
    465.77x = 643.11 × 300.08
  4. Step 4: Simplify right side
    465.77x = 192,986.06
  5. Step 5: Solve for x
    x = 192,986.06/465.77
  6. Step 6: Final answer
    x = 414.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.