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Finding the Fourth Proportional to 381.15, 573.80 and 347.13

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Solution

The fourth proportional to 381.15, 573.80 and 347.13 is: 522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.15 : 573.80 = 347.13 : x
  2. Step 2: Convert to fraction form
    381.15/573.80 = 347.13/x
  3. Step 3: Cross multiply
    381.15x = 573.80 × 347.13
  4. Step 4: Simplify right side
    381.15x = 199,181.46
  5. Step 5: Solve for x
    x = 199,181.46/381.15
  6. Step 6: Final answer
    x = 522.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.