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Finding the Fourth Proportional to 352.96, 486.08 and 301.12

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Solution

The fourth proportional to 352.96, 486.08 and 301.12 is: 414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.96 : 486.08 = 301.12 : x
  2. Step 2: Convert to fraction form
    352.96/486.08 = 301.12/x
  3. Step 3: Cross multiply
    352.96x = 486.08 × 301.12
  4. Step 4: Simplify right side
    352.96x = 146,368.41
  5. Step 5: Solve for x
    x = 146,368.41/352.96
  6. Step 6: Final answer
    x = 414.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.