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Finding the Fourth Proportional to 468.05, 645.73 and 268.89

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Solution

The fourth proportional to 468.05, 645.73 and 268.89 is: 370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.05 : 645.73 = 268.89 : x
  2. Step 2: Convert to fraction form
    468.05/645.73 = 268.89/x
  3. Step 3: Cross multiply
    468.05x = 645.73 × 268.89
  4. Step 4: Simplify right side
    468.05x = 173,630.34
  5. Step 5: Solve for x
    x = 173,630.34/468.05
  6. Step 6: Final answer
    x = 370.97

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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.