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Finding the Fourth Proportional to 344.88, 469.56 and 343.80

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Solution

The fourth proportional to 344.88, 469.56 and 343.80 is: 468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.88 : 469.56 = 343.80 : x
  2. Step 2: Convert to fraction form
    344.88/469.56 = 343.80/x
  3. Step 3: Cross multiply
    344.88x = 469.56 × 343.80
  4. Step 4: Simplify right side
    344.88x = 161,434.73
  5. Step 5: Solve for x
    x = 161,434.73/344.88
  6. Step 6: Final answer
    x = 468.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.