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Finding the Fourth Proportional to 310.14, 428.00 and 177.35

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Solution

The fourth proportional to 310.14, 428.00 and 177.35 is: 244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.14 : 428.00 = 177.35 : x
  2. Step 2: Convert to fraction form
    310.14/428.00 = 177.35/x
  3. Step 3: Cross multiply
    310.14x = 428.00 × 177.35
  4. Step 4: Simplify right side
    310.14x = 75,902.77
  5. Step 5: Solve for x
    x = 75,902.77/310.14
  6. Step 6: Final answer
    x = 244.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.