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Finding the Fourth Proportional to 381.47, 572.26 and 134.65

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Solution

The fourth proportional to 381.47, 572.26 and 134.65 is: 201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.47 : 572.26 = 134.65 : x
  2. Step 2: Convert to fraction form
    381.47/572.26 = 134.65/x
  3. Step 3: Cross multiply
    381.47x = 572.26 × 134.65
  4. Step 4: Simplify right side
    381.47x = 77,054.81
  5. Step 5: Solve for x
    x = 77,054.81/381.47
  6. Step 6: Final answer
    x = 201.99

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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.