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Finding the Fourth Proportional to 388.84, 585.56 and 281.38

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Solution

The fourth proportional to 388.84, 585.56 and 281.38 is: 423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.84 : 585.56 = 281.38 : x
  2. Step 2: Convert to fraction form
    388.84/585.56 = 281.38/x
  3. Step 3: Cross multiply
    388.84x = 585.56 × 281.38
  4. Step 4: Simplify right side
    388.84x = 164,764.87
  5. Step 5: Solve for x
    x = 164,764.87/388.84
  6. Step 6: Final answer
    x = 423.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.