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Finding the Fourth Proportional to 391.50, 585.90 and 281.57

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Solution

The fourth proportional to 391.50, 585.90 and 281.57 is: 421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.50 : 585.90 = 281.57 : x
  2. Step 2: Convert to fraction form
    391.50/585.90 = 281.57/x
  3. Step 3: Cross multiply
    391.50x = 585.90 × 281.57
  4. Step 4: Simplify right side
    391.50x = 164,968.93
  5. Step 5: Solve for x
    x = 164,968.93/391.50
  6. Step 6: Final answer
    x = 421.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.