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Finding the Fourth Proportional to 349.06, 480.66 and 296.68

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Solution

The fourth proportional to 349.06, 480.66 and 296.68 is: 408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.06 : 480.66 = 296.68 : x
  2. Step 2: Convert to fraction form
    349.06/480.66 = 296.68/x
  3. Step 3: Cross multiply
    349.06x = 480.66 × 296.68
  4. Step 4: Simplify right side
    349.06x = 142,602.21
  5. Step 5: Solve for x
    x = 142,602.21/349.06
  6. Step 6: Final answer
    x = 408.53

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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.