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Finding the Fourth Proportional to 562.56, 843.84 and 238.08

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Solution

The fourth proportional to 562.56, 843.84 and 238.08 is: 357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.56 : 843.84 = 238.08 : x
  2. Step 2: Convert to fraction form
    562.56/843.84 = 238.08/x
  3. Step 3: Cross multiply
    562.56x = 843.84 × 238.08
  4. Step 4: Simplify right side
    562.56x = 200,901.43
  5. Step 5: Solve for x
    x = 200,901.43/562.56
  6. Step 6: Final answer
    x = 357.12

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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.