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Finding the Fourth Proportional to 536.12, 741.10 and 382.20

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Solution

The fourth proportional to 536.12, 741.10 and 382.20 is: 528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.12 : 741.10 = 382.20 : x
  2. Step 2: Convert to fraction form
    536.12/741.10 = 382.20/x
  3. Step 3: Cross multiply
    536.12x = 741.10 × 382.20
  4. Step 4: Simplify right side
    536.12x = 283,248.42
  5. Step 5: Solve for x
    x = 283,248.42/536.12
  6. Step 6: Final answer
    x = 528.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.