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Finding the Fourth Proportional to 310.45, 428.60 and 192.47

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Solution

The fourth proportional to 310.45, 428.60 and 192.47 is: 265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.45 : 428.60 = 192.47 : x
  2. Step 2: Convert to fraction form
    310.45/428.60 = 192.47/x
  3. Step 3: Cross multiply
    310.45x = 428.60 × 192.47
  4. Step 4: Simplify right side
    310.45x = 82,492.64
  5. Step 5: Solve for x
    x = 82,492.64/310.45
  6. Step 6: Final answer
    x = 265.72

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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.