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Finding the Fourth Proportional to 492.09, 736.55 and 345.66

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Solution

The fourth proportional to 492.09, 736.55 and 345.66 is: 517.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.09 : 736.55 = 345.66 : x
  2. Step 2: Convert to fraction form
    492.09/736.55 = 345.66/x
  3. Step 3: Cross multiply
    492.09x = 736.55 × 345.66
  4. Step 4: Simplify right side
    492.09x = 254,594.14
  5. Step 5: Solve for x
    x = 254,594.14/492.09
  6. Step 6: Final answer
    x = 517.37

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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.