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Finding the Fourth Proportional to 302.76, 418.68 and 299.52

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Solution

The fourth proportional to 302.76, 418.68 and 299.52 is: 414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.76 : 418.68 = 299.52 : x
  2. Step 2: Convert to fraction form
    302.76/418.68 = 299.52/x
  3. Step 3: Cross multiply
    302.76x = 418.68 × 299.52
  4. Step 4: Simplify right side
    302.76x = 125,403.03
  5. Step 5: Solve for x
    x = 125,403.03/302.76
  6. Step 6: Final answer
    x = 414.20

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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.