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Finding the Fourth Proportional to 352.71, 526.83 and 298.05

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Solution

The fourth proportional to 352.71, 526.83 and 298.05 is: 445.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.71 : 526.83 = 298.05 : x
  2. Step 2: Convert to fraction form
    352.71/526.83 = 298.05/x
  3. Step 3: Cross multiply
    352.71x = 526.83 × 298.05
  4. Step 4: Simplify right side
    352.71x = 157,021.68
  5. Step 5: Solve for x
    x = 157,021.68/352.71
  6. Step 6: Final answer
    x = 445.19

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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.