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Finding the Fourth Proportional to 310.19, 428.10 and 177.47

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Solution

The fourth proportional to 310.19, 428.10 and 177.47 is: 244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.19 : 428.10 = 177.47 : x
  2. Step 2: Convert to fraction form
    310.19/428.10 = 177.47/x
  3. Step 3: Cross multiply
    310.19x = 428.10 × 177.47
  4. Step 4: Simplify right side
    310.19x = 75,972.77
  5. Step 5: Solve for x
    x = 75,972.77/310.19
  6. Step 6: Final answer
    x = 244.93

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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.