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Finding the Fourth Proportional to 305.55, 458.34 and 132.18

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Solution

The fourth proportional to 305.55, 458.34 and 132.18 is: 198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.55 : 458.34 = 132.18 : x
  2. Step 2: Convert to fraction form
    305.55/458.34 = 132.18/x
  3. Step 3: Cross multiply
    305.55x = 458.34 × 132.18
  4. Step 4: Simplify right side
    305.55x = 60,583.38
  5. Step 5: Solve for x
    x = 60,583.38/305.55
  6. Step 6: Final answer
    x = 198.28

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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.