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Finding the Fourth Proportional to 437.37, 655.44 and 242.46

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Solution

The fourth proportional to 437.37, 655.44 and 242.46 is: 363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.37 : 655.44 = 242.46 : x
  2. Step 2: Convert to fraction form
    437.37/655.44 = 242.46/x
  3. Step 3: Cross multiply
    437.37x = 655.44 × 242.46
  4. Step 4: Simplify right side
    437.37x = 158,917.98
  5. Step 5: Solve for x
    x = 158,917.98/437.37
  6. Step 6: Final answer
    x = 363.35

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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.