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Finding the Fourth Proportional to 314.71, 434.29 and 174.82

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Solution

The fourth proportional to 314.71, 434.29 and 174.82 is: 241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.71 : 434.29 = 174.82 : x
  2. Step 2: Convert to fraction form
    314.71/434.29 = 174.82/x
  3. Step 3: Cross multiply
    314.71x = 434.29 × 174.82
  4. Step 4: Simplify right side
    314.71x = 75,922.14
  5. Step 5: Solve for x
    x = 75,922.14/314.71
  6. Step 6: Final answer
    x = 241.25

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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.