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Finding the Fourth Proportional to 366.55, 547.21 and 311.47

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Solution

The fourth proportional to 366.55, 547.21 and 311.47 is: 464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.55 : 547.21 = 311.47 : x
  2. Step 2: Convert to fraction form
    366.55/547.21 = 311.47/x
  3. Step 3: Cross multiply
    366.55x = 547.21 × 311.47
  4. Step 4: Simplify right side
    366.55x = 170,440.28
  5. Step 5: Solve for x
    x = 170,440.28/366.55
  6. Step 6: Final answer
    x = 464.99

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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.