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Finding the Fourth Proportional to 541.37, 811.41 and 280.98

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Solution

The fourth proportional to 541.37, 811.41 and 280.98 is: 421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.37 : 811.41 = 280.98 : x
  2. Step 2: Convert to fraction form
    541.37/811.41 = 280.98/x
  3. Step 3: Cross multiply
    541.37x = 811.41 × 280.98
  4. Step 4: Simplify right side
    541.37x = 227,989.98
  5. Step 5: Solve for x
    x = 227,989.98/541.37
  6. Step 6: Final answer
    x = 421.14

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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.