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Finding the Fourth Proportional to 348.33, 476.91 and 345

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Solution

The fourth proportional to 348.33, 476.91 and 345 is: 472.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.33 : 476.91 = 345 : x
  2. Step 2: Convert to fraction form
    348.33/476.91 = 345/x
  3. Step 3: Cross multiply
    348.33x = 476.91 × 345
  4. Step 4: Simplify right side
    348.33x = 164,533.95
  5. Step 5: Solve for x
    x = 164,533.95/348.33
  6. Step 6: Final answer
    x = 472.35

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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.