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Finding the Fourth Proportional to 366.30, 547.70 and 315.54

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Solution

The fourth proportional to 366.30, 547.70 and 315.54 is: 471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.30 : 547.70 = 315.54 : x
  2. Step 2: Convert to fraction form
    366.30/547.70 = 315.54/x
  3. Step 3: Cross multiply
    366.30x = 547.70 × 315.54
  4. Step 4: Simplify right side
    366.30x = 172,821.26
  5. Step 5: Solve for x
    x = 172,821.26/366.30
  6. Step 6: Final answer
    x = 471.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.