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Finding the Fourth Proportional to 379.50, 568.32 and 242.12

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Solution

The fourth proportional to 379.50, 568.32 and 242.12 is: 362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.50 : 568.32 = 242.12 : x
  2. Step 2: Convert to fraction form
    379.50/568.32 = 242.12/x
  3. Step 3: Cross multiply
    379.50x = 568.32 × 242.12
  4. Step 4: Simplify right side
    379.50x = 137,601.64
  5. Step 5: Solve for x
    x = 137,601.64/379.50
  6. Step 6: Final answer
    x = 362.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.