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Finding the Fourth Proportional to 506.44, 699.18 and 351.40

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Solution

The fourth proportional to 506.44, 699.18 and 351.40 is: 485.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.44 : 699.18 = 351.40 : x
  2. Step 2: Convert to fraction form
    506.44/699.18 = 351.40/x
  3. Step 3: Cross multiply
    506.44x = 699.18 × 351.40
  4. Step 4: Simplify right side
    506.44x = 245,691.85
  5. Step 5: Solve for x
    x = 245,691.85/506.44
  6. Step 6: Final answer
    x = 485.14

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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.