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Finding the Fourth Proportional to 352.04, 524.91 and 347.78

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Solution

The fourth proportional to 352.04, 524.91 and 347.78 is: 518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.04 : 524.91 = 347.78 : x
  2. Step 2: Convert to fraction form
    352.04/524.91 = 347.78/x
  3. Step 3: Cross multiply
    352.04x = 524.91 × 347.78
  4. Step 4: Simplify right side
    352.04x = 182,553.20
  5. Step 5: Solve for x
    x = 182,553.20/352.04
  6. Step 6: Final answer
    x = 518.56

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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.