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Finding the Fourth Proportional to 421.17, 581.00 and 281.13

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Solution

The fourth proportional to 421.17, 581.00 and 281.13 is: 387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.17 : 581.00 = 281.13 : x
  2. Step 2: Convert to fraction form
    421.17/581.00 = 281.13/x
  3. Step 3: Cross multiply
    421.17x = 581.00 × 281.13
  4. Step 4: Simplify right side
    421.17x = 163,335.12
  5. Step 5: Solve for x
    x = 163,335.12/421.17
  6. Step 6: Final answer
    x = 387.81

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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.