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Finding the Fourth Proportional to 540.82, 746.43 and 352.00

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Solution

The fourth proportional to 540.82, 746.43 and 352.00 is: 485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.82 : 746.43 = 352.00 : x
  2. Step 2: Convert to fraction form
    540.82/746.43 = 352.00/x
  3. Step 3: Cross multiply
    540.82x = 746.43 × 352.00
  4. Step 4: Simplify right side
    540.82x = 262,740.51
  5. Step 5: Solve for x
    x = 262,740.51/540.82
  6. Step 6: Final answer
    x = 485.82

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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.