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Finding the Fourth Proportional to 314.78, 434.37 and 174.89

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Solution

The fourth proportional to 314.78, 434.37 and 174.89 is: 241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.78 : 434.37 = 174.89 : x
  2. Step 2: Convert to fraction form
    314.78/434.37 = 174.89/x
  3. Step 3: Cross multiply
    314.78x = 434.37 × 174.89
  4. Step 4: Simplify right side
    314.78x = 75,966.97
  5. Step 5: Solve for x
    x = 75,966.97/314.78
  6. Step 6: Final answer
    x = 241.33

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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.