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Finding the Fourth Proportional to 483.76, 725.31 and 278.42

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Solution

The fourth proportional to 483.76, 725.31 and 278.42 is: 417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.76 : 725.31 = 278.42 : x
  2. Step 2: Convert to fraction form
    483.76/725.31 = 278.42/x
  3. Step 3: Cross multiply
    483.76x = 725.31 × 278.42
  4. Step 4: Simplify right side
    483.76x = 201,940.81
  5. Step 5: Solve for x
    x = 201,940.81/483.76
  6. Step 6: Final answer
    x = 417.44

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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.