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Finding the Fourth Proportional to 386, 532.36 and 281.46

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Solution

The fourth proportional to 386, 532.36 and 281.46 is: 388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    386 : 532.36 = 281.46 : x
  2. Step 2: Convert to fraction form
    386/532.36 = 281.46/x
  3. Step 3: Cross multiply
    386x = 532.36 × 281.46
  4. Step 4: Simplify right side
    386x = 149,838.05
  5. Step 5: Solve for x
    x = 149,838.05/386
  6. Step 6: Final answer
    x = 388.18

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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.