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Finding the Fourth Proportional to 656.16, 905.51 and 361.43

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Solution

The fourth proportional to 656.16, 905.51 and 361.43 is: 498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.16 : 905.51 = 361.43 : x
  2. Step 2: Convert to fraction form
    656.16/905.51 = 361.43/x
  3. Step 3: Cross multiply
    656.16x = 905.51 × 361.43
  4. Step 4: Simplify right side
    656.16x = 327,276.67
  5. Step 5: Solve for x
    x = 327,276.67/656.16
  6. Step 6: Final answer
    x = 498.78

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