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Finding the Fourth Proportional to 393.51, 543.02 and 225.48

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Solution

The fourth proportional to 393.51, 543.02 and 225.48 is: 311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.51 : 543.02 = 225.48 : x
  2. Step 2: Convert to fraction form
    393.51/543.02 = 225.48/x
  3. Step 3: Cross multiply
    393.51x = 543.02 × 225.48
  4. Step 4: Simplify right side
    393.51x = 122,442.33
  5. Step 5: Solve for x
    x = 122,442.33/393.51
  6. Step 6: Final answer
    x = 311.15

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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.