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Finding the Fourth Proportional to 351.78, 524.69 and 345.30

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Solution

The fourth proportional to 351.78, 524.69 and 345.30 is: 515.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.78 : 524.69 = 345.30 : x
  2. Step 2: Convert to fraction form
    351.78/524.69 = 345.30/x
  3. Step 3: Cross multiply
    351.78x = 524.69 × 345.30
  4. Step 4: Simplify right side
    351.78x = 181,173.73
  5. Step 5: Solve for x
    x = 181,173.73/351.78
  6. Step 6: Final answer
    x = 515.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.