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Finding the Fourth Proportional to 388, 535.85 and 385.30

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Solution

The fourth proportional to 388, 535.85 and 385.30 is: 532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    388 : 535.85 = 385.30 : x
  2. Step 2: Convert to fraction form
    388/535.85 = 385.30/x
  3. Step 3: Cross multiply
    388x = 535.85 × 385.30
  4. Step 4: Simplify right side
    388x = 206,463.01
  5. Step 5: Solve for x
    x = 206,463.01/388
  6. Step 6: Final answer
    x = 532.12

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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.