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Finding the Fourth Proportional to 536.31, 805.68 and 320.04

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Solution

The fourth proportional to 536.31, 805.68 and 320.04 is: 480.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.31 : 805.68 = 320.04 : x
  2. Step 2: Convert to fraction form
    536.31/805.68 = 320.04/x
  3. Step 3: Cross multiply
    536.31x = 805.68 × 320.04
  4. Step 4: Simplify right side
    536.31x = 257,849.83
  5. Step 5: Solve for x
    x = 257,849.83/536.31
  6. Step 6: Final answer
    x = 480.79

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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.