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Finding the Fourth Proportional to 381.20, 572.18 and 164.93

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Solution

The fourth proportional to 381.20, 572.18 and 164.93 is: 247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.20 : 572.18 = 164.93 : x
  2. Step 2: Convert to fraction form
    381.20/572.18 = 164.93/x
  3. Step 3: Cross multiply
    381.20x = 572.18 × 164.93
  4. Step 4: Simplify right side
    381.20x = 94,365.96
  5. Step 5: Solve for x
    x = 94,365.96/381.20
  6. Step 6: Final answer
    x = 247.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.