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Finding the Fourth Proportional to 296.94, 409.86 and 170.92

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Solution

The fourth proportional to 296.94, 409.86 and 170.92 is: 235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.94 : 409.86 = 170.92 : x
  2. Step 2: Convert to fraction form
    296.94/409.86 = 170.92/x
  3. Step 3: Cross multiply
    296.94x = 409.86 × 170.92
  4. Step 4: Simplify right side
    296.94x = 70,053.13
  5. Step 5: Solve for x
    x = 70,053.13/296.94
  6. Step 6: Final answer
    x = 235.91

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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.