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Finding the Fourth Proportional to 492.08, 677.91 and 342.44

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Solution

The fourth proportional to 492.08, 677.91 and 342.44 is: 471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.08 : 677.91 = 342.44 : x
  2. Step 2: Convert to fraction form
    492.08/677.91 = 342.44/x
  3. Step 3: Cross multiply
    492.08x = 677.91 × 342.44
  4. Step 4: Simplify right side
    492.08x = 232,147.15
  5. Step 5: Solve for x
    x = 232,147.15/492.08
  6. Step 6: Final answer
    x = 471.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.