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Finding the Fourth Proportional to 468.89, 647.12 and 269.75

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Solution

The fourth proportional to 468.89, 647.12 and 269.75 is: 372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.89 : 647.12 = 269.75 : x
  2. Step 2: Convert to fraction form
    468.89/647.12 = 269.75/x
  3. Step 3: Cross multiply
    468.89x = 647.12 × 269.75
  4. Step 4: Simplify right side
    468.89x = 174,560.62
  5. Step 5: Solve for x
    x = 174,560.62/468.89
  6. Step 6: Final answer
    x = 372.28

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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.