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Finding the Fourth Proportional to 354.61, 488.31 and 299.12

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Solution

The fourth proportional to 354.61, 488.31 and 299.12 is: 411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.61 : 488.31 = 299.12 : x
  2. Step 2: Convert to fraction form
    354.61/488.31 = 299.12/x
  3. Step 3: Cross multiply
    354.61x = 488.31 × 299.12
  4. Step 4: Simplify right side
    354.61x = 146,063.29
  5. Step 5: Solve for x
    x = 146,063.29/354.61
  6. Step 6: Final answer
    x = 411.90

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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.