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Finding the Fourth Proportional to 303.29, 455.43 and 187.97

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Solution

The fourth proportional to 303.29, 455.43 and 187.97 is: 282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.29 : 455.43 = 187.97 : x
  2. Step 2: Convert to fraction form
    303.29/455.43 = 187.97/x
  3. Step 3: Cross multiply
    303.29x = 455.43 × 187.97
  4. Step 4: Simplify right side
    303.29x = 85,607.18
  5. Step 5: Solve for x
    x = 85,607.18/303.29
  6. Step 6: Final answer
    x = 282.26

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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.