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Finding the Fourth Proportional to 296.99, 409.84 and 166.00

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Solution

The fourth proportional to 296.99, 409.84 and 166.00 is: 229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.99 : 409.84 = 166.00 : x
  2. Step 2: Convert to fraction form
    296.99/409.84 = 166.00/x
  3. Step 3: Cross multiply
    296.99x = 409.84 × 166.00
  4. Step 4: Simplify right side
    296.99x = 68,030.56
  5. Step 5: Solve for x
    x = 68,030.56/296.99
  6. Step 6: Final answer
    x = 229.07

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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.