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Finding the Fourth Proportional to 400.21, 598.66 and 365.72

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Solution

The fourth proportional to 400.21, 598.66 and 365.72 is: 547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.21 : 598.66 = 365.72 : x
  2. Step 2: Convert to fraction form
    400.21/598.66 = 365.72/x
  3. Step 3: Cross multiply
    400.21x = 598.66 × 365.72
  4. Step 4: Simplify right side
    400.21x = 218,938.03
  5. Step 5: Solve for x
    x = 218,938.03/400.21
  6. Step 6: Final answer
    x = 547.06

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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.