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Finding the Fourth Proportional to 310.10, 428.02 and 185.78

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Solution

The fourth proportional to 310.10, 428.02 and 185.78 is: 256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.10 : 428.02 = 185.78 : x
  2. Step 2: Convert to fraction form
    310.10/428.02 = 185.78/x
  3. Step 3: Cross multiply
    310.10x = 428.02 × 185.78
  4. Step 4: Simplify right side
    310.10x = 79,518.16
  5. Step 5: Solve for x
    x = 79,518.16/310.10
  6. Step 6: Final answer
    x = 256.43

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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.