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Finding the Fourth Proportional to 302.24, 414.38 and 296.76

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Solution

The fourth proportional to 302.24, 414.38 and 296.76 is: 406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.24 : 414.38 = 296.76 : x
  2. Step 2: Convert to fraction form
    302.24/414.38 = 296.76/x
  3. Step 3: Cross multiply
    302.24x = 414.38 × 296.76
  4. Step 4: Simplify right side
    302.24x = 122,971.41
  5. Step 5: Solve for x
    x = 122,971.41/302.24
  6. Step 6: Final answer
    x = 406.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.