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Finding the Fourth Proportional to 348.77, 480.21 and 296.21

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Solution

The fourth proportional to 348.77, 480.21 and 296.21 is: 407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.77 : 480.21 = 296.21 : x
  2. Step 2: Convert to fraction form
    348.77/480.21 = 296.21/x
  3. Step 3: Cross multiply
    348.77x = 480.21 × 296.21
  4. Step 4: Simplify right side
    348.77x = 142,239.12
  5. Step 5: Solve for x
    x = 142,239.12/348.77
  6. Step 6: Final answer
    x = 407.83

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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.