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Finding the Fourth Proportional to 351.84, 482.55 and 343.74

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Solution

The fourth proportional to 351.84, 482.55 and 343.74 is: 471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.84 : 482.55 = 343.74 : x
  2. Step 2: Convert to fraction form
    351.84/482.55 = 343.74/x
  3. Step 3: Cross multiply
    351.84x = 482.55 × 343.74
  4. Step 4: Simplify right side
    351.84x = 165,871.74
  5. Step 5: Solve for x
    x = 165,871.74/351.84
  6. Step 6: Final answer
    x = 471.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.