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Finding the Fourth Proportional to 348.48, 478.08 and 326.40

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Solution

The fourth proportional to 348.48, 478.08 and 326.40 is: 447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.48 : 478.08 = 326.40 : x
  2. Step 2: Convert to fraction form
    348.48/478.08 = 326.40/x
  3. Step 3: Cross multiply
    348.48x = 478.08 × 326.40
  4. Step 4: Simplify right side
    348.48x = 156,045.31
  5. Step 5: Solve for x
    x = 156,045.31/348.48
  6. Step 6: Final answer
    x = 447.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.