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Finding the Fourth Proportional to 382.72, 573.68 and 151.51

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Solution

The fourth proportional to 382.72, 573.68 and 151.51 is: 227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.72 : 573.68 = 151.51 : x
  2. Step 2: Convert to fraction form
    382.72/573.68 = 151.51/x
  3. Step 3: Cross multiply
    382.72x = 573.68 × 151.51
  4. Step 4: Simplify right side
    382.72x = 86,918.26
  5. Step 5: Solve for x
    x = 86,918.26/382.72
  6. Step 6: Final answer
    x = 227.11

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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.