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Finding the Fourth Proportional to 398.08, 546.30 and 361.16

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Solution

The fourth proportional to 398.08, 546.30 and 361.16 is: 495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.08 : 546.30 = 361.16 : x
  2. Step 2: Convert to fraction form
    398.08/546.30 = 361.16/x
  3. Step 3: Cross multiply
    398.08x = 546.30 × 361.16
  4. Step 4: Simplify right side
    398.08x = 197,301.71
  5. Step 5: Solve for x
    x = 197,301.71/398.08
  6. Step 6: Final answer
    x = 495.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.