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Finding the Fourth Proportional to 363.18, 546.93 and 331.02

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Solution

The fourth proportional to 363.18, 546.93 and 331.02 is: 498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.18 : 546.93 = 331.02 : x
  2. Step 2: Convert to fraction form
    363.18/546.93 = 331.02/x
  3. Step 3: Cross multiply
    363.18x = 546.93 × 331.02
  4. Step 4: Simplify right side
    363.18x = 181,044.77
  5. Step 5: Solve for x
    x = 181,044.77/363.18
  6. Step 6: Final answer
    x = 498.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.