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Finding the Fourth Proportional to 492.18, 738.63 and 235.86

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Solution

The fourth proportional to 492.18, 738.63 and 235.86 is: 353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.18 : 738.63 = 235.86 : x
  2. Step 2: Convert to fraction form
    492.18/738.63 = 235.86/x
  3. Step 3: Cross multiply
    492.18x = 738.63 × 235.86
  4. Step 4: Simplify right side
    492.18x = 174,213.27
  5. Step 5: Solve for x
    x = 174,213.27/492.18
  6. Step 6: Final answer
    x = 353.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.