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Finding the Fourth Proportional to 381.13, 573.77 and 348.84

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Solution

The fourth proportional to 381.13, 573.77 and 348.84 is: 525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.13 : 573.77 = 348.84 : x
  2. Step 2: Convert to fraction form
    381.13/573.77 = 348.84/x
  3. Step 3: Cross multiply
    381.13x = 573.77 × 348.84
  4. Step 4: Simplify right side
    381.13x = 200,154.80
  5. Step 5: Solve for x
    x = 200,154.80/381.13
  6. Step 6: Final answer
    x = 525.16

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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.