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Finding the Fourth Proportional to 314.43, 434.31 and 255.50

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Solution

The fourth proportional to 314.43, 434.31 and 255.50 is: 352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.43 : 434.31 = 255.50 : x
  2. Step 2: Convert to fraction form
    314.43/434.31 = 255.50/x
  3. Step 3: Cross multiply
    314.43x = 434.31 × 255.50
  4. Step 4: Simplify right side
    314.43x = 110,968.58
  5. Step 5: Solve for x
    x = 110,968.58/314.43
  6. Step 6: Final answer
    x = 352.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.