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Finding the Fourth Proportional to 381.59, 572.61 and 165.16

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Solution

The fourth proportional to 381.59, 572.61 and 165.16 is: 247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.59 : 572.61 = 165.16 : x
  2. Step 2: Convert to fraction form
    381.59/572.61 = 165.16/x
  3. Step 3: Cross multiply
    381.59x = 572.61 × 165.16
  4. Step 4: Simplify right side
    381.59x = 94,574.05
  5. Step 5: Solve for x
    x = 94,574.05/381.59
  6. Step 6: Final answer
    x = 247.84

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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.