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Finding the Fourth Proportional to 334.83, 461.72 and 242.02

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Solution

The fourth proportional to 334.83, 461.72 and 242.02 is: 333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.83 : 461.72 = 242.02 : x
  2. Step 2: Convert to fraction form
    334.83/461.72 = 242.02/x
  3. Step 3: Cross multiply
    334.83x = 461.72 × 242.02
  4. Step 4: Simplify right side
    334.83x = 111,741.96
  5. Step 5: Solve for x
    x = 111,741.96/334.83
  6. Step 6: Final answer
    x = 333.73

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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.