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Finding the Fourth Proportional to 409.45, 614.13 and 120.90

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Solution

The fourth proportional to 409.45, 614.13 and 120.90 is: 181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.45 : 614.13 = 120.90 : x
  2. Step 2: Convert to fraction form
    409.45/614.13 = 120.90/x
  3. Step 3: Cross multiply
    409.45x = 614.13 × 120.90
  4. Step 4: Simplify right side
    409.45x = 74,248.32
  5. Step 5: Solve for x
    x = 74,248.32/409.45
  6. Step 6: Final answer
    x = 181.34

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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.