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Finding the Fourth Proportional to 536.52, 804.78 and 280.02

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Solution

The fourth proportional to 536.52, 804.78 and 280.02 is: 420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.52 : 804.78 = 280.02 : x
  2. Step 2: Convert to fraction form
    536.52/804.78 = 280.02/x
  3. Step 3: Cross multiply
    536.52x = 804.78 × 280.02
  4. Step 4: Simplify right side
    536.52x = 225,354.50
  5. Step 5: Solve for x
    x = 225,354.50/536.52
  6. Step 6: Final answer
    x = 420.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.