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Finding the Fourth Proportional to 492.98, 680.13 and 296.55

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Solution

The fourth proportional to 492.98, 680.13 and 296.55 is: 409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.98 : 680.13 = 296.55 : x
  2. Step 2: Convert to fraction form
    492.98/680.13 = 296.55/x
  3. Step 3: Cross multiply
    492.98x = 680.13 × 296.55
  4. Step 4: Simplify right side
    492.98x = 201,692.55
  5. Step 5: Solve for x
    x = 201,692.55/492.98
  6. Step 6: Final answer
    x = 409.13

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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.