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Finding the Fourth Proportional to 332.80, 457.20 and 274.40

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Solution

The fourth proportional to 332.80, 457.20 and 274.40 is: 376.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.80 : 457.20 = 274.40 : x
  2. Step 2: Convert to fraction form
    332.80/457.20 = 274.40/x
  3. Step 3: Cross multiply
    332.80x = 457.20 × 274.40
  4. Step 4: Simplify right side
    332.80x = 125,455.68
  5. Step 5: Solve for x
    x = 125,455.68/332.80
  6. Step 6: Final answer
    x = 376.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.