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Finding the Fourth Proportional to 436.43, 657.63 and 361.08

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Solution

The fourth proportional to 436.43, 657.63 and 361.08 is: 544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.43 : 657.63 = 361.08 : x
  2. Step 2: Convert to fraction form
    436.43/657.63 = 361.08/x
  3. Step 3: Cross multiply
    436.43x = 657.63 × 361.08
  4. Step 4: Simplify right side
    436.43x = 237,457.04
  5. Step 5: Solve for x
    x = 237,457.04/436.43
  6. Step 6: Final answer
    x = 544.10

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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.