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Finding the Fourth Proportional to 314.76, 433.74 and 310.92

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Solution

The fourth proportional to 314.76, 433.74 and 310.92 is: 428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 433.74 = 310.92 : x
  2. Step 2: Convert to fraction form
    314.76/433.74 = 310.92/x
  3. Step 3: Cross multiply
    314.76x = 433.74 × 310.92
  4. Step 4: Simplify right side
    314.76x = 134,858.44
  5. Step 5: Solve for x
    x = 134,858.44/314.76
  6. Step 6: Final answer
    x = 428.45

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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.