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Finding the Fourth Proportional to 393.55, 543.36 and 282.22

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Solution

The fourth proportional to 393.55, 543.36 and 282.22 is: 389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.55 : 543.36 = 282.22 : x
  2. Step 2: Convert to fraction form
    393.55/543.36 = 282.22/x
  3. Step 3: Cross multiply
    393.55x = 543.36 × 282.22
  4. Step 4: Simplify right side
    393.55x = 153,347.06
  5. Step 5: Solve for x
    x = 153,347.06/393.55
  6. Step 6: Final answer
    x = 389.65

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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.