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Finding the Fourth Proportional to 364.03, 543.51 and 282.96

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Solution

The fourth proportional to 364.03, 543.51 and 282.96 is: 422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.03 : 543.51 = 282.96 : x
  2. Step 2: Convert to fraction form
    364.03/543.51 = 282.96/x
  3. Step 3: Cross multiply
    364.03x = 543.51 × 282.96
  4. Step 4: Simplify right side
    364.03x = 153,791.59
  5. Step 5: Solve for x
    x = 153,791.59/364.03
  6. Step 6: Final answer
    x = 422.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.