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Finding the Fourth Proportional to 380.46, 524.99 and 212.40

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Solution

The fourth proportional to 380.46, 524.99 and 212.40 is: 293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.46 : 524.99 = 212.40 : x
  2. Step 2: Convert to fraction form
    380.46/524.99 = 212.40/x
  3. Step 3: Cross multiply
    380.46x = 524.99 × 212.40
  4. Step 4: Simplify right side
    380.46x = 111,508.41
  5. Step 5: Solve for x
    x = 111,508.41/380.46
  6. Step 6: Final answer
    x = 293.09

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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.