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Finding the Fourth Proportional to 332.60, 496.72 and 278.54

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Solution

The fourth proportional to 332.60, 496.72 and 278.54 is: 415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.60 : 496.72 = 278.54 : x
  2. Step 2: Convert to fraction form
    332.60/496.72 = 278.54/x
  3. Step 3: Cross multiply
    332.60x = 496.72 × 278.54
  4. Step 4: Simplify right side
    332.60x = 138,356.39
  5. Step 5: Solve for x
    x = 138,356.39/332.60
  6. Step 6: Final answer
    x = 415.98

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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.