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Finding the Fourth Proportional to 381.81, 573.18 and 291.14

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Solution

The fourth proportional to 381.81, 573.18 and 291.14 is: 437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.81 : 573.18 = 291.14 : x
  2. Step 2: Convert to fraction form
    381.81/573.18 = 291.14/x
  3. Step 3: Cross multiply
    381.81x = 573.18 × 291.14
  4. Step 4: Simplify right side
    381.81x = 166,877.04
  5. Step 5: Solve for x
    x = 166,877.04/381.81
  6. Step 6: Final answer
    x = 437.06

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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.