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Finding the Fourth Proportional to 310.16, 427.86 and 185.78

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Solution

The fourth proportional to 310.16, 427.86 and 185.78 is: 256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.16 : 427.86 = 185.78 : x
  2. Step 2: Convert to fraction form
    310.16/427.86 = 185.78/x
  3. Step 3: Cross multiply
    310.16x = 427.86 × 185.78
  4. Step 4: Simplify right side
    310.16x = 79,487.83
  5. Step 5: Solve for x
    x = 79,487.83/310.16
  6. Step 6: Final answer
    x = 256.28

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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.