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Finding the Fourth Proportional to 421.52, 581.83 and 281.84

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Solution

The fourth proportional to 421.52, 581.83 and 281.84 is: 389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.52 : 581.83 = 281.84 : x
  2. Step 2: Convert to fraction form
    421.52/581.83 = 281.84/x
  3. Step 3: Cross multiply
    421.52x = 581.83 × 281.84
  4. Step 4: Simplify right side
    421.52x = 163,982.97
  5. Step 5: Solve for x
    x = 163,982.97/421.52
  6. Step 6: Final answer
    x = 389.03

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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.