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Finding the Fourth Proportional to 614.41, 921.75 and 181.60

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Solution

The fourth proportional to 614.41, 921.75 and 181.60 is: 272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.41 : 921.75 = 181.60 : x
  2. Step 2: Convert to fraction form
    614.41/921.75 = 181.60/x
  3. Step 3: Cross multiply
    614.41x = 921.75 × 181.60
  4. Step 4: Simplify right side
    614.41x = 167,389.80
  5. Step 5: Solve for x
    x = 167,389.80/614.41
  6. Step 6: Final answer
    x = 272.44

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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.