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Finding the Fourth Proportional to 380.09, 524.51 and 212.06

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Solution

The fourth proportional to 380.09, 524.51 and 212.06 is: 292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.09 : 524.51 = 212.06 : x
  2. Step 2: Convert to fraction form
    380.09/524.51 = 212.06/x
  3. Step 3: Cross multiply
    380.09x = 524.51 × 212.06
  4. Step 4: Simplify right side
    380.09x = 111,223.91
  5. Step 5: Solve for x
    x = 111,223.91/380.09
  6. Step 6: Final answer
    x = 292.62

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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.