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Finding the Fourth Proportional to 296.53, 409.25 and 213.64

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Solution

The fourth proportional to 296.53, 409.25 and 213.64 is: 294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.53 : 409.25 = 213.64 : x
  2. Step 2: Convert to fraction form
    296.53/409.25 = 213.64/x
  3. Step 3: Cross multiply
    296.53x = 409.25 × 213.64
  4. Step 4: Simplify right side
    296.53x = 87,432.17
  5. Step 5: Solve for x
    x = 87,432.17/296.53
  6. Step 6: Final answer
    x = 294.85

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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.