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Finding the Fourth Proportional to 305.37, 458.10 and 110.39

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Solution

The fourth proportional to 305.37, 458.10 and 110.39 is: 165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.37 : 458.10 = 110.39 : x
  2. Step 2: Convert to fraction form
    305.37/458.10 = 110.39/x
  3. Step 3: Cross multiply
    305.37x = 458.10 × 110.39
  4. Step 4: Simplify right side
    305.37x = 50,567.37
  5. Step 5: Solve for x
    x = 50,567.37/305.37
  6. Step 6: Final answer
    x = 165.59

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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.