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Finding the Fourth Proportional to 333.58, 498.48 and 272.78

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Solution

The fourth proportional to 333.58, 498.48 and 272.78 is: 407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.58 : 498.48 = 272.78 : x
  2. Step 2: Convert to fraction form
    333.58/498.48 = 272.78/x
  3. Step 3: Cross multiply
    333.58x = 498.48 × 272.78
  4. Step 4: Simplify right side
    333.58x = 135,975.37
  5. Step 5: Solve for x
    x = 135,975.37/333.58
  6. Step 6: Final answer
    x = 407.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.