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Finding the Fourth Proportional to 399.85, 598.48 and 361.96

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Solution

The fourth proportional to 399.85, 598.48 and 361.96 is: 541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.85 : 598.48 = 361.96 : x
  2. Step 2: Convert to fraction form
    399.85/598.48 = 361.96/x
  3. Step 3: Cross multiply
    399.85x = 598.48 × 361.96
  4. Step 4: Simplify right side
    399.85x = 216,623.42
  5. Step 5: Solve for x
    x = 216,623.42/399.85
  6. Step 6: Final answer
    x = 541.77

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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.