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Finding the Fourth Proportional to 357.12, 536.14 and 242.08

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Solution

The fourth proportional to 357.12, 536.14 and 242.08 is: 363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.12 : 536.14 = 242.08 : x
  2. Step 2: Convert to fraction form
    357.12/536.14 = 242.08/x
  3. Step 3: Cross multiply
    357.12x = 536.14 × 242.08
  4. Step 4: Simplify right side
    357.12x = 129,787.73
  5. Step 5: Solve for x
    x = 129,787.73/357.12
  6. Step 6: Final answer
    x = 363.43

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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.