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Finding the Fourth Proportional to 459.38, 634.80 and 348.66

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Solution

The fourth proportional to 459.38, 634.80 and 348.66 is: 481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.38 : 634.80 = 348.66 : x
  2. Step 2: Convert to fraction form
    459.38/634.80 = 348.66/x
  3. Step 3: Cross multiply
    459.38x = 634.80 × 348.66
  4. Step 4: Simplify right side
    459.38x = 221,329.37
  5. Step 5: Solve for x
    x = 221,329.37/459.38
  6. Step 6: Final answer
    x = 481.80

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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.