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Finding the Fourth Proportional to 408.61, 613 and 120.07

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Solution

The fourth proportional to 408.61, 613 and 120.07 is: 180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.61 : 613 = 120.07 : x
  2. Step 2: Convert to fraction form
    408.61/613 = 120.07/x
  3. Step 3: Cross multiply
    408.61x = 613 × 120.07
  4. Step 4: Simplify right side
    408.61x = 73,602.91
  5. Step 5: Solve for x
    x = 73,602.91/408.61
  6. Step 6: Final answer
    x = 180.13

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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.