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Finding the Fourth Proportional to 296.40, 445.12 and 274.80

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Solution

The fourth proportional to 296.40, 445.12 and 274.80 is: 412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.40 : 445.12 = 274.80 : x
  2. Step 2: Convert to fraction form
    296.40/445.12 = 274.80/x
  3. Step 3: Cross multiply
    296.40x = 445.12 × 274.80
  4. Step 4: Simplify right side
    296.40x = 122,318.98
  5. Step 5: Solve for x
    x = 122,318.98/296.40
  6. Step 6: Final answer
    x = 412.68

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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.