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Finding the Fourth Proportional to 388.84, 536.60 and 211.81

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Solution

The fourth proportional to 388.84, 536.60 and 211.81 is: 292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.84 : 536.60 = 211.81 : x
  2. Step 2: Convert to fraction form
    388.84/536.60 = 211.81/x
  3. Step 3: Cross multiply
    388.84x = 536.60 × 211.81
  4. Step 4: Simplify right side
    388.84x = 113,656.05
  5. Step 5: Solve for x
    x = 113,656.05/388.84
  6. Step 6: Final answer
    x = 292.30

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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.