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Finding the Fourth Proportional to 296.88, 409.76 and 198.72

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Solution

The fourth proportional to 296.88, 409.76 and 198.72 is: 274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.88 : 409.76 = 198.72 : x
  2. Step 2: Convert to fraction form
    296.88/409.76 = 198.72/x
  3. Step 3: Cross multiply
    296.88x = 409.76 × 198.72
  4. Step 4: Simplify right side
    296.88x = 81,427.51
  5. Step 5: Solve for x
    x = 81,427.51/296.88
  6. Step 6: Final answer
    x = 274.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.