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Finding the Fourth Proportional to 352.35, 524.78 and 339.59

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Solution

The fourth proportional to 352.35, 524.78 and 339.59 is: 505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.35 : 524.78 = 339.59 : x
  2. Step 2: Convert to fraction form
    352.35/524.78 = 339.59/x
  3. Step 3: Cross multiply
    352.35x = 524.78 × 339.59
  4. Step 4: Simplify right side
    352.35x = 178,210.93
  5. Step 5: Solve for x
    x = 178,210.93/352.35
  6. Step 6: Final answer
    x = 505.78

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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.