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Finding the Fourth Proportional to 366.30, 547.11 and 315.09

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Solution

The fourth proportional to 366.30, 547.11 and 315.09 is: 470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.30 : 547.11 = 315.09 : x
  2. Step 2: Convert to fraction form
    366.30/547.11 = 315.09/x
  3. Step 3: Cross multiply
    366.30x = 547.11 × 315.09
  4. Step 4: Simplify right side
    366.30x = 172,388.89
  5. Step 5: Solve for x
    x = 172,388.89/366.30
  6. Step 6: Final answer
    x = 470.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.