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Finding the Fourth Proportional to 348.53, 478.21 and 345.26

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Solution

The fourth proportional to 348.53, 478.21 and 345.26 is: 473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.53 : 478.21 = 345.26 : x
  2. Step 2: Convert to fraction form
    348.53/478.21 = 345.26/x
  3. Step 3: Cross multiply
    348.53x = 478.21 × 345.26
  4. Step 4: Simplify right side
    348.53x = 165,106.78
  5. Step 5: Solve for x
    x = 165,106.78/348.53
  6. Step 6: Final answer
    x = 473.73

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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.