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Finding the Fourth Proportional to 314.80, 434.45 and 174.96

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Solution

The fourth proportional to 314.80, 434.45 and 174.96 is: 241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.80 : 434.45 = 174.96 : x
  2. Step 2: Convert to fraction form
    314.80/434.45 = 174.96/x
  3. Step 3: Cross multiply
    314.80x = 434.45 × 174.96
  4. Step 4: Simplify right side
    314.80x = 76,011.04
  5. Step 5: Solve for x
    x = 76,011.04/314.80
  6. Step 6: Final answer
    x = 241.46

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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.