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Finding the Fourth Proportional to 555.21, 832.91 and 262.80

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Solution

The fourth proportional to 555.21, 832.91 and 262.80 is: 394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.21 : 832.91 = 262.80 : x
  2. Step 2: Convert to fraction form
    555.21/832.91 = 262.80/x
  3. Step 3: Cross multiply
    555.21x = 832.91 × 262.80
  4. Step 4: Simplify right side
    555.21x = 218,887.43
  5. Step 5: Solve for x
    x = 218,887.43/555.21
  6. Step 6: Final answer
    x = 394.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.