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Finding the Fourth Proportional to 333.56, 498.32 and 278.89

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Solution

The fourth proportional to 333.56, 498.32 and 278.89 is: 416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.56 : 498.32 = 278.89 : x
  2. Step 2: Convert to fraction form
    333.56/498.32 = 278.89/x
  3. Step 3: Cross multiply
    333.56x = 498.32 × 278.89
  4. Step 4: Simplify right side
    333.56x = 138,974.87
  5. Step 5: Solve for x
    x = 138,974.87/333.56
  6. Step 6: Final answer
    x = 416.64

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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.