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Finding the Fourth Proportional to 184.72, 253.26 and 181.43

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Solution

The fourth proportional to 184.72, 253.26 and 181.43 is: 248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.72 : 253.26 = 181.43 : x
  2. Step 2: Convert to fraction form
    184.72/253.26 = 181.43/x
  3. Step 3: Cross multiply
    184.72x = 253.26 × 181.43
  4. Step 4: Simplify right side
    184.72x = 45,946.79
  5. Step 5: Solve for x
    x = 45,946.79/184.72
  6. Step 6: Final answer
    x = 248.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.