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Finding the Fourth Proportional to 361.34, 541.28 and 216.98

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Solution

The fourth proportional to 361.34, 541.28 and 216.98 is: 325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.34 : 541.28 = 216.98 : x
  2. Step 2: Convert to fraction form
    361.34/541.28 = 216.98/x
  3. Step 3: Cross multiply
    361.34x = 541.28 × 216.98
  4. Step 4: Simplify right side
    361.34x = 117,446.93
  5. Step 5: Solve for x
    x = 117,446.93/361.34
  6. Step 6: Final answer
    x = 325.03

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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.