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Finding the Fourth Proportional to 388.16, 535.65 and 213.50

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Solution

The fourth proportional to 388.16, 535.65 and 213.50 is: 294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.16 : 535.65 = 213.50 : x
  2. Step 2: Convert to fraction form
    388.16/535.65 = 213.50/x
  3. Step 3: Cross multiply
    388.16x = 535.65 × 213.50
  4. Step 4: Simplify right side
    388.16x = 114,361.28
  5. Step 5: Solve for x
    x = 114,361.28/388.16
  6. Step 6: Final answer
    x = 294.62

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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.