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Finding the Fourth Proportional to 755.56, 1,133.28 and 242.56

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Solution

The fourth proportional to 755.56, 1,133.28 and 242.56 is: 363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.56 : 1,133.28 = 242.56 : x
  2. Step 2: Convert to fraction form
    755.56/1,133.28 = 242.56/x
  3. Step 3: Cross multiply
    755.56x = 1,133.28 × 242.56
  4. Step 4: Simplify right side
    755.56x = 274,888.40
  5. Step 5: Solve for x
    x = 274,888.40/755.56
  6. Step 6: Final answer
    x = 363.82

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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.