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Finding the Fourth Proportional to 614.85, 922.14 and 181.90

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Solution

The fourth proportional to 614.85, 922.14 and 181.90 is: 272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.85 : 922.14 = 181.90 : x
  2. Step 2: Convert to fraction form
    614.85/922.14 = 181.90/x
  3. Step 3: Cross multiply
    614.85x = 922.14 × 181.90
  4. Step 4: Simplify right side
    614.85x = 167,737.27
  5. Step 5: Solve for x
    x = 167,737.27/614.85
  6. Step 6: Final answer
    x = 272.81

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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.