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Finding the Fourth Proportional to 421.46, 581.21 and 281.59

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Solution

The fourth proportional to 421.46, 581.21 and 281.59 is: 388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.46 : 581.21 = 281.59 : x
  2. Step 2: Convert to fraction form
    421.46/581.21 = 281.59/x
  3. Step 3: Cross multiply
    421.46x = 581.21 × 281.59
  4. Step 4: Simplify right side
    421.46x = 163,662.92
  5. Step 5: Solve for x
    x = 163,662.92/421.46
  6. Step 6: Final answer
    x = 388.32

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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.