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Finding the Fourth Proportional to 296.99, 409.74 and 179.00

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Solution

The fourth proportional to 296.99, 409.74 and 179.00 is: 246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.99 : 409.74 = 179.00 : x
  2. Step 2: Convert to fraction form
    296.99/409.74 = 179.00/x
  3. Step 3: Cross multiply
    296.99x = 409.74 × 179.00
  4. Step 4: Simplify right side
    296.99x = 73,341.41
  5. Step 5: Solve for x
    x = 73,341.41/296.99
  6. Step 6: Final answer
    x = 246.95

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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.