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Finding the Fourth Proportional to 494.55, 682.32 and 295.29

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Solution

The fourth proportional to 494.55, 682.32 and 295.29 is: 407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.55 : 682.32 = 295.29 : x
  2. Step 2: Convert to fraction form
    494.55/682.32 = 295.29/x
  3. Step 3: Cross multiply
    494.55x = 682.32 × 295.29
  4. Step 4: Simplify right side
    494.55x = 201,482.27
  5. Step 5: Solve for x
    x = 201,482.27/494.55
  6. Step 6: Final answer
    x = 407.41

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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.