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Finding the Fourth Proportional to 355.58, 492.98 and 337.12

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Solution

The fourth proportional to 355.58, 492.98 and 337.12 is: 467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.58 : 492.98 = 337.12 : x
  2. Step 2: Convert to fraction form
    355.58/492.98 = 337.12/x
  3. Step 3: Cross multiply
    355.58x = 492.98 × 337.12
  4. Step 4: Simplify right side
    355.58x = 166,191.73
  5. Step 5: Solve for x
    x = 166,191.73/355.58
  6. Step 6: Final answer
    x = 467.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.