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Finding the Fourth Proportional to 409.42, 614.12 and 120.86

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Solution

The fourth proportional to 409.42, 614.12 and 120.86 is: 181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.42 : 614.12 = 120.86 : x
  2. Step 2: Convert to fraction form
    409.42/614.12 = 120.86/x
  3. Step 3: Cross multiply
    409.42x = 614.12 × 120.86
  4. Step 4: Simplify right side
    409.42x = 74,219.77
  5. Step 5: Solve for x
    x = 74,219.77/409.42
  6. Step 6: Final answer
    x = 181.28

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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.