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Finding the Fourth Proportional to 385.53, 580.39 and 351.51

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Solution

The fourth proportional to 385.53, 580.39 and 351.51 is: 529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.53 : 580.39 = 351.51 : x
  2. Step 2: Convert to fraction form
    385.53/580.39 = 351.51/x
  3. Step 3: Cross multiply
    385.53x = 580.39 × 351.51
  4. Step 4: Simplify right side
    385.53x = 204,012.89
  5. Step 5: Solve for x
    x = 204,012.89/385.53
  6. Step 6: Final answer
    x = 529.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.