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Finding the Fourth Proportional to 536.24, 804.45 and 305.24

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Solution

The fourth proportional to 536.24, 804.45 and 305.24 is: 457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.24 : 804.45 = 305.24 : x
  2. Step 2: Convert to fraction form
    536.24/804.45 = 305.24/x
  3. Step 3: Cross multiply
    536.24x = 804.45 × 305.24
  4. Step 4: Simplify right side
    536.24x = 245,546.30
  5. Step 5: Solve for x
    x = 245,546.30/536.24
  6. Step 6: Final answer
    x = 457.91

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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.