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Finding the Fourth Proportional to 466.20, 643.08 and 300.36

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Solution

The fourth proportional to 466.20, 643.08 and 300.36 is: 414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.20 : 643.08 = 300.36 : x
  2. Step 2: Convert to fraction form
    466.20/643.08 = 300.36/x
  3. Step 3: Cross multiply
    466.20x = 643.08 × 300.36
  4. Step 4: Simplify right side
    466.20x = 193,155.51
  5. Step 5: Solve for x
    x = 193,155.51/466.20
  6. Step 6: Final answer
    x = 414.32

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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.