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Finding the Fourth Proportional to 528.98, 729.68 and 361.22

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Solution

The fourth proportional to 528.98, 729.68 and 361.22 is: 498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.98 : 729.68 = 361.22 : x
  2. Step 2: Convert to fraction form
    528.98/729.68 = 361.22/x
  3. Step 3: Cross multiply
    528.98x = 729.68 × 361.22
  4. Step 4: Simplify right side
    528.98x = 263,575.01
  5. Step 5: Solve for x
    x = 263,575.01/528.98
  6. Step 6: Final answer
    x = 498.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.