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Finding the Fourth Proportional to 536.16, 739.74 and 326.16

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Solution

The fourth proportional to 536.16, 739.74 and 326.16 is: 450.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.16 : 739.74 = 326.16 : x
  2. Step 2: Convert to fraction form
    536.16/739.74 = 326.16/x
  3. Step 3: Cross multiply
    536.16x = 739.74 × 326.16
  4. Step 4: Simplify right side
    536.16x = 241,273.60
  5. Step 5: Solve for x
    x = 241,273.60/536.16
  6. Step 6: Final answer
    x = 450.00

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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.