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Finding the Fourth Proportional to 412.48, 568.32 and 274.24

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Solution

The fourth proportional to 412.48, 568.32 and 274.24 is: 377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.48 : 568.32 = 274.24 : x
  2. Step 2: Convert to fraction form
    412.48/568.32 = 274.24/x
  3. Step 3: Cross multiply
    412.48x = 568.32 × 274.24
  4. Step 4: Simplify right side
    412.48x = 155,856.08
  5. Step 5: Solve for x
    x = 155,856.08/412.48
  6. Step 6: Final answer
    x = 377.85

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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.