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Finding the Fourth Proportional to 349.36, 480.91 and 302.08

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Solution

The fourth proportional to 349.36, 480.91 and 302.08 is: 415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.36 : 480.91 = 302.08 : x
  2. Step 2: Convert to fraction form
    349.36/480.91 = 302.08/x
  3. Step 3: Cross multiply
    349.36x = 480.91 × 302.08
  4. Step 4: Simplify right side
    349.36x = 145,272.09
  5. Step 5: Solve for x
    x = 145,272.09/349.36
  6. Step 6: Final answer
    x = 415.82

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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.