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Finding the Fourth Proportional to 314.28, 434.82 and 299.88

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Solution

The fourth proportional to 314.28, 434.82 and 299.88 is: 414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.28 : 434.82 = 299.88 : x
  2. Step 2: Convert to fraction form
    314.28/434.82 = 299.88/x
  3. Step 3: Cross multiply
    314.28x = 434.82 × 299.88
  4. Step 4: Simplify right side
    314.28x = 130,393.82
  5. Step 5: Solve for x
    x = 130,393.82/314.28
  6. Step 6: Final answer
    x = 414.90

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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.