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Finding the Fourth Proportional to 296.42, 409.57 and 222.04

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Solution

The fourth proportional to 296.42, 409.57 and 222.04 is: 306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.42 : 409.57 = 222.04 : x
  2. Step 2: Convert to fraction form
    296.42/409.57 = 222.04/x
  3. Step 3: Cross multiply
    296.42x = 409.57 × 222.04
  4. Step 4: Simplify right side
    296.42x = 90,941.19
  5. Step 5: Solve for x
    x = 90,941.19/296.42
  6. Step 6: Final answer
    x = 306.80

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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.