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Finding the Fourth Proportional to 366.80, 547.86 and 315.60

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Solution

The fourth proportional to 366.80, 547.86 and 315.60 is: 471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.80 : 547.86 = 315.60 : x
  2. Step 2: Convert to fraction form
    366.80/547.86 = 315.60/x
  3. Step 3: Cross multiply
    366.80x = 547.86 × 315.60
  4. Step 4: Simplify right side
    366.80x = 172,904.62
  5. Step 5: Solve for x
    x = 172,904.62/366.80
  6. Step 6: Final answer
    x = 471.39

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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.