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Finding the Fourth Proportional to 349.16, 480.74 and 296.60

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Solution

The fourth proportional to 349.16, 480.74 and 296.60 is: 408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.16 : 480.74 = 296.60 : x
  2. Step 2: Convert to fraction form
    349.16/480.74 = 296.60/x
  3. Step 3: Cross multiply
    349.16x = 480.74 × 296.60
  4. Step 4: Simplify right side
    349.16x = 142,587.48
  5. Step 5: Solve for x
    x = 142,587.48/349.16
  6. Step 6: Final answer
    x = 408.37

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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.