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Finding the Fourth Proportional to 302.96, 418.38 and 259.04

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Solution

The fourth proportional to 302.96, 418.38 and 259.04 is: 357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.96 : 418.38 = 259.04 : x
  2. Step 2: Convert to fraction form
    302.96/418.38 = 259.04/x
  3. Step 3: Cross multiply
    302.96x = 418.38 × 259.04
  4. Step 4: Simplify right side
    302.96x = 108,377.16
  5. Step 5: Solve for x
    x = 108,377.16/302.96
  6. Step 6: Final answer
    x = 357.73

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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.