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Finding the Fourth Proportional to 366.31, 546.62 and 343.02

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Solution

The fourth proportional to 366.31, 546.62 and 343.02 is: 511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.31 : 546.62 = 343.02 : x
  2. Step 2: Convert to fraction form
    366.31/546.62 = 343.02/x
  3. Step 3: Cross multiply
    366.31x = 546.62 × 343.02
  4. Step 4: Simplify right side
    366.31x = 187,501.59
  5. Step 5: Solve for x
    x = 187,501.59/366.31
  6. Step 6: Final answer
    x = 511.87

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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.