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Finding the Fourth Proportional to 332.70, 496.44 and 278.70

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Solution

The fourth proportional to 332.70, 496.44 and 278.70 is: 415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.70 : 496.44 = 278.70 : x
  2. Step 2: Convert to fraction form
    332.70/496.44 = 278.70/x
  3. Step 3: Cross multiply
    332.70x = 496.44 × 278.70
  4. Step 4: Simplify right side
    332.70x = 138,357.83
  5. Step 5: Solve for x
    x = 138,357.83/332.70
  6. Step 6: Final answer
    x = 415.86

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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.