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Finding the Fourth Proportional to 334.83, 497.92 and 331.23

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Solution

The fourth proportional to 334.83, 497.92 and 331.23 is: 492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.83 : 497.92 = 331.23 : x
  2. Step 2: Convert to fraction form
    334.83/497.92 = 331.23/x
  3. Step 3: Cross multiply
    334.83x = 497.92 × 331.23
  4. Step 4: Simplify right side
    334.83x = 164,925.21
  5. Step 5: Solve for x
    x = 164,925.21/334.83
  6. Step 6: Final answer
    x = 492.56

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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.