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Finding the Fourth Proportional to 536.82, 805.40 and 212.01

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Solution

The fourth proportional to 536.82, 805.40 and 212.01 is: 318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.82 : 805.40 = 212.01 : x
  2. Step 2: Convert to fraction form
    536.82/805.40 = 212.01/x
  3. Step 3: Cross multiply
    536.82x = 805.40 × 212.01
  4. Step 4: Simplify right side
    536.82x = 170,752.85
  5. Step 5: Solve for x
    x = 170,752.85/536.82
  6. Step 6: Final answer
    x = 318.08

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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.