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Finding the Fourth Proportional to 496.19, 684.02 and 348.36

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Solution

The fourth proportional to 496.19, 684.02 and 348.36 is: 480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.19 : 684.02 = 348.36 : x
  2. Step 2: Convert to fraction form
    496.19/684.02 = 348.36/x
  3. Step 3: Cross multiply
    496.19x = 684.02 × 348.36
  4. Step 4: Simplify right side
    496.19x = 238,285.21
  5. Step 5: Solve for x
    x = 238,285.21/496.19
  6. Step 6: Final answer
    x = 480.23

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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.