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Finding the Fourth Proportional to 337.12, 505.86 and 120.76

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Solution

The fourth proportional to 337.12, 505.86 and 120.76 is: 181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.12 : 505.86 = 120.76 : x
  2. Step 2: Convert to fraction form
    337.12/505.86 = 120.76/x
  3. Step 3: Cross multiply
    337.12x = 505.86 × 120.76
  4. Step 4: Simplify right side
    337.12x = 61,087.65
  5. Step 5: Solve for x
    x = 61,087.65/337.12
  6. Step 6: Final answer
    x = 181.20

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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.