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Finding the Fourth Proportional to 492.64, 679.82 and 296.08

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Solution

The fourth proportional to 492.64, 679.82 and 296.08 is: 408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.64 : 679.82 = 296.08 : x
  2. Step 2: Convert to fraction form
    492.64/679.82 = 296.08/x
  3. Step 3: Cross multiply
    492.64x = 679.82 × 296.08
  4. Step 4: Simplify right side
    492.64x = 201,281.11
  5. Step 5: Solve for x
    x = 201,281.11/492.64
  6. Step 6: Final answer
    x = 408.58

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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.