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Finding the Fourth Proportional to 296.69, 410.18 and 222.89

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Solution

The fourth proportional to 296.69, 410.18 and 222.89 is: 308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.69 : 410.18 = 222.89 : x
  2. Step 2: Convert to fraction form
    296.69/410.18 = 222.89/x
  3. Step 3: Cross multiply
    296.69x = 410.18 × 222.89
  4. Step 4: Simplify right side
    296.69x = 91,421.85
  5. Step 5: Solve for x
    x = 91,421.85/296.69
  6. Step 6: Final answer
    x = 308.14

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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.