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Finding the Fourth Proportional to 380.29, 524.78 and 212.23

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Solution

The fourth proportional to 380.29, 524.78 and 212.23 is: 292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.29 : 524.78 = 212.23 : x
  2. Step 2: Convert to fraction form
    380.29/524.78 = 212.23/x
  3. Step 3: Cross multiply
    380.29x = 524.78 × 212.23
  4. Step 4: Simplify right side
    380.29x = 111,373.00
  5. Step 5: Solve for x
    x = 111,373.00/380.29
  6. Step 6: Final answer
    x = 292.86

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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.