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Finding the Fourth Proportional to 302.36, 418.82 and 296.20

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Solution

The fourth proportional to 302.36, 418.82 and 296.20 is: 410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.36 : 418.82 = 296.20 : x
  2. Step 2: Convert to fraction form
    302.36/418.82 = 296.20/x
  3. Step 3: Cross multiply
    302.36x = 418.82 × 296.20
  4. Step 4: Simplify right side
    302.36x = 124,054.64
  5. Step 5: Solve for x
    x = 124,054.64/302.36
  6. Step 6: Final answer
    x = 410.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.