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Finding the Fourth Proportional to 486.73, 729.02 and 278.02

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Solution

The fourth proportional to 486.73, 729.02 and 278.02 is: 416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.73 : 729.02 = 278.02 : x
  2. Step 2: Convert to fraction form
    486.73/729.02 = 278.02/x
  3. Step 3: Cross multiply
    486.73x = 729.02 × 278.02
  4. Step 4: Simplify right side
    486.73x = 202,682.14
  5. Step 5: Solve for x
    x = 202,682.14/486.73
  6. Step 6: Final answer
    x = 416.42

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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.