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Finding the Fourth Proportional to 435.82, 653.67 and 241.18

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Solution

The fourth proportional to 435.82, 653.67 and 241.18 is: 361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.82 : 653.67 = 241.18 : x
  2. Step 2: Convert to fraction form
    435.82/653.67 = 241.18/x
  3. Step 3: Cross multiply
    435.82x = 653.67 × 241.18
  4. Step 4: Simplify right side
    435.82x = 157,652.13
  5. Step 5: Solve for x
    x = 157,652.13/435.82
  6. Step 6: Final answer
    x = 361.74

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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.