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Finding the Fourth Proportional to 352.32, 525.60 and 298.56

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Solution

The fourth proportional to 352.32, 525.60 and 298.56 is: 445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.32 : 525.60 = 298.56 : x
  2. Step 2: Convert to fraction form
    352.32/525.60 = 298.56/x
  3. Step 3: Cross multiply
    352.32x = 525.60 × 298.56
  4. Step 4: Simplify right side
    352.32x = 156,923.14
  5. Step 5: Solve for x
    x = 156,923.14/352.32
  6. Step 6: Final answer
    x = 445.40

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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.