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Finding the Fourth Proportional to 466.36, 642.89 and 300.51

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Solution

The fourth proportional to 466.36, 642.89 and 300.51 is: 414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.36 : 642.89 = 300.51 : x
  2. Step 2: Convert to fraction form
    466.36/642.89 = 300.51/x
  3. Step 3: Cross multiply
    466.36x = 642.89 × 300.51
  4. Step 4: Simplify right side
    466.36x = 193,193.93
  5. Step 5: Solve for x
    x = 193,193.93/466.36
  6. Step 6: Final answer
    x = 414.26

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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.