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Finding the Fourth Proportional to 397.44, 598.37 and 363.42

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Solution

The fourth proportional to 397.44, 598.37 and 363.42 is: 547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.44 : 598.37 = 363.42 : x
  2. Step 2: Convert to fraction form
    397.44/598.37 = 363.42/x
  3. Step 3: Cross multiply
    397.44x = 598.37 × 363.42
  4. Step 4: Simplify right side
    397.44x = 217,457.81
  5. Step 5: Solve for x
    x = 217,457.81/397.44
  6. Step 6: Final answer
    x = 547.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.