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Finding the Fourth Proportional to 388.36, 535.94 and 263.84

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Solution

The fourth proportional to 388.36, 535.94 and 263.84 is: 364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.36 : 535.94 = 263.84 : x
  2. Step 2: Convert to fraction form
    388.36/535.94 = 263.84/x
  3. Step 3: Cross multiply
    388.36x = 535.94 × 263.84
  4. Step 4: Simplify right side
    388.36x = 141,402.41
  5. Step 5: Solve for x
    x = 141,402.41/388.36
  6. Step 6: Final answer
    x = 364.10

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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.