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Finding the Fourth Proportional to 352.83, 528.78 and 316.38

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Solution

The fourth proportional to 352.83, 528.78 and 316.38 is: 474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.83 : 528.78 = 316.38 : x
  2. Step 2: Convert to fraction form
    352.83/528.78 = 316.38/x
  3. Step 3: Cross multiply
    352.83x = 528.78 × 316.38
  4. Step 4: Simplify right side
    352.83x = 167,295.42
  5. Step 5: Solve for x
    x = 167,295.42/352.83
  6. Step 6: Final answer
    x = 474.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.