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Finding the Fourth Proportional to 349.07, 480.61 and 296.50

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Solution

The fourth proportional to 349.07, 480.61 and 296.50 is: 408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.07 : 480.61 = 296.50 : x
  2. Step 2: Convert to fraction form
    349.07/480.61 = 296.50/x
  3. Step 3: Cross multiply
    349.07x = 480.61 × 296.50
  4. Step 4: Simplify right side
    349.07x = 142,500.87
  5. Step 5: Solve for x
    x = 142,500.87/349.07
  6. Step 6: Final answer
    x = 408.23

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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.