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Finding the Fourth Proportional to 185.83, 256.32 and 120.31

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Solution

The fourth proportional to 185.83, 256.32 and 120.31 is: 165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.83 : 256.32 = 120.31 : x
  2. Step 2: Convert to fraction form
    185.83/256.32 = 120.31/x
  3. Step 3: Cross multiply
    185.83x = 256.32 × 120.31
  4. Step 4: Simplify right side
    185.83x = 30,837.22
  5. Step 5: Solve for x
    x = 30,837.22/185.83
  6. Step 6: Final answer
    x = 165.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.